Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units. What would be the perimeters of the other rectangles Corbet could make using only these 24 tiles? How do the areas of the rectangles compare? Explain.
Answers
Answer:
The perimeter of other rectangles are 50, 28, 22 units
The area of all possible rectangles are same and equals to 24 unit²
Step-by-step explanation:
Given - Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units.
To find - What would be the perimeters of the other rectangles Orbet could make using only these 24 tiles? How do the areas of the rectangles compare?
Proof -
We know that
Are of Rectangle = Length × Breadth
And Perimeter of Rectangle = 2 (Length + Breadth )
Now,
Given that,
Orbet used 24 square tiles
And perimeter of the rectangle made = 20
So,
Possible Length of rectangle = 6
Possible breadth of Rectangle = 4
Or Vice-versa.
Total number of Rectangles possible = 4
Possibilities are - 1 × 24, 2 × 12, 3 × 8, 4 × 6
Case I :
Length of rectangle = 1
Breadth of rectangle = 24
∴ Perimeter of rectangle = 2(1 + 24) = 2(25) = 50 units
Area of rectangle = 1 × 24 = 24 unit²
Case II :
Length of rectangle = 2
Breadth of rectangle = 12
∴ Perimeter of rectangle = 2(2 + 12) = 2(14) = 28 units
Area of rectangle = 2 × 12 = 24 unit²
Case III :
Length of rectangle = 3
Breadth of rectangle = 8
∴ Perimeter of rectangle = 2(3 + 8) = 2(11) = 22 units
Area of rectangle = 3 × 8 = 24 unit²
Case IV :
Length of rectangle = 4
Breadth of rectangle = 6
∴ Perimeter of rectangle = 2(4 + 6) = 2(10) = 20 units
Area of rectangle = 4 × 6 = 24 unit²
∴ we get
The perimeter of other rectangles are 50, 28, 22 units
The area of all possible rectangles are same and equals to 24 unit²
Related Questions
PLEASE HELP ILL GIVE BRAINLIEST
PLEASE SHOW WORK
Answers
Answer:
A
Step-by-step explanation:
52÷262=.198--->> 19.8%
Jake has $500 in his checking account. He wants to spend part of this money on new sneakers, $350 left in his checking account after buying the sneakers.
Answers
The question is incomplete:
Jake has $500 in his checking account. He wants to spend part of this money on new sneakers, $350 left in his checking account after buying the sneakers. Whta was the price of the sneakers?
Answer:
The price of the sneakers is $150.
Step-by-step explanation:
In order to find the answer with the information provided, you have to subtract the amount left in Jake's checking account after buying the sneakers from the amount he initially had on the account:
$500-$350=$150
According to this, the answer is that the price of the sneakers was $150.
Anthony makes candies for his party guests. First, he mixes 1 cup of cream with 2 cups of chocolate. In all, he uses 9 cups of these two ingredients. How many cups of chocolate does he use in this candy recipe?
Answers
Answer:
Cream = 3 cups
Chocolate = 6 cups
Step-by-step explanation:
Cream = 1 cup
Chocolate = 2 cups
Total = 3 cups
Cream : chocolate = 1 : 2
He uses 9 cups of these two ingredients. How many cups of chocolate does he use in this candy recipe?
Cream = ratio of cream/total ratio of total cups
= 1/3 of 9
= 1/3 × 9
= 3 cups
Cream = 3 cups
Chocolate = ratio of chocolate/total ratio of total cups
= 2/3 of 9
= 2/3 × 9
= 6 cups
Chocolate = 6 cups
Which situation can best be modeled with an exponential function? A.The value of a car depreciating 6% each year. B.The cost to purchase different weights of bananas at a store. C.The total number of miles run by a person who runs 8 miles per day. D.The amount of money a salesperson makes if they make a salary plus 3% commission on total sales for the week.
Answers
Answer:
A.The value of a car depreciating 6% each year.
Step-by-step explanation:
According to definitions.net "The exponential function is used to model a relationship in which a constant change in the independent variable gives the same proportional change in the dependent variable."
Given that the car depereciate by 6% each year, I can write;
Let the initial value of the car be P
Let the value of the car at time t be Y
Let the number of years be t
This is a case of exponential decay so;
Y = P( 1 - 6/100)^t
pls help me this is due soon thx
Answers
Answer:
D
Step-by-step explanation:
help 30 points and brainliest
Answers
Answer:
1600
Step-by-step explanation:
long= 8ft
tall= 20
width= 10
Find the volume of the cylinder find volume of a cylinder with the same radius and double the height what is the volume of the cylinder
Answers
Answer:
1004.8^3
Step-by-step explanation:
to find the volume you must first get the area of the base
3.14 x 8 squared or 8^2 which will equal 200.96
then you multiply the base times height
200.96^2 x 5 = 1004.8 cubed or 1004.8^3
also be careful you don't multiply 200.96 twice because it is squared (;
What is the x coordinate of the solution?
What is the y coordinate of the solution?
Answers
Answer:
the x coordinate is 1
the y coordinate is 1
Step-by-step explanation:
Answer:
1,1
Step-by-step explanation:
HELP ASAP I GIVE BRAINLISET
Answers
Answer:
Step-by-step explanation:
→ Scone Muffin Cookie
↓ Coffee
Tea
120 ÷ 500 × 100 = 24%
180 ÷ 500 × 100 = 36%
PLEASE EXPLAIN YOUR ANSWER!
Answers
Answer:
B
Step-by-step explanation:
Basically you are dividing X by 4, meaning the number of boxes, if you took all the mugs out of the boxes there are 55 mugs.
Natalie lost her job through no fault of her own. She had worked there for two years and the last year she earned $27,500. She has applied for unemployment insurance. What will her weekly benefit be?
Answers
Answer:
it should be around $527
Step-by-step explanation:
Answer:
550
Step-by-step explanation:
426 per week up to 26 weeks
Solve this please quickly everything on the picture. Thank you
Answers
Answer:
yes because i said
Step-by-step explanation:
bc i said
Count to find the slope
Answers
Answer:
6/7
Step-by-step explanation:
Which of the following represents “three times the abscissa decreased by the ordinate is twenty-two”?
3 x = 22 - y
y - 3 x = 22
3 x - y = 22
Answers
Answer:
3x - y = 22
Step-by-step explanation:
The abcisssa is known as the x coordinate while the ordinate is the y coordinate
abcissa = x
ordinate = y
“three times the abscissa = 3x
“three times the abscissa decreased by ordinate is expressed as;
3x - y
Is the result is 22, hence;
3x - y = 22
this gives the required expression
13. What is the y-intercept of the line that passes through (4, 1) and has a slope of
-2?
Answers
Answer:
The y-intercept of the line is 9.
Step-by-step explanation:
y-y1=m(x-x1)
y-1=-2(x-4)
y-1=-2x+8
y=-2x+8+1
y=-2x+9
y=mx+b where m=slope and b=y-intercept
Mrs. Anderson is building a model for a pool. The actual pool is 32 yards long and 28 yards wide. If the scale factor is 0.5 inch = 2 yards, find the length of Mrs. Anderson's model pool.
Answers
Answer:
Step-by-step explanation:
Mrs. Anderson is building a model for a pool. The actual pool is 32 yards long and 28 yards wide. If the scale factor is 0.5 inch = 2 yards, find the length of Mrs. Anderson's model pool.
2 yards = 0.5 inch
32 yards = x
The graph below shows the cost of bag tags based on the number of bag tags ordered:
A graph is shown. The title of the graph is Bag Tags. The horizontal axis label is Number of Bag Tags. The horizontal axis values are 0, 2, 4, 6, 8, 10. The vertical axis label is Cost in dollars. The vertical axis values are 0, 8, 16, 24, 32, 40. Points are plotted on the ordered pairs 2,8 and 4,16 and 6, 24.
The cost of 1 bag tag is $______. Input only whole numbers, such as 8.
Numerical Answers Expected!
Answers
Answer:
4 dollars, $4
Step-by-step explanation:
As for the cost being on the side and the amount of bag tags being on the bottom, thats the first step, to study the cost to tag ratio.
1st dot: 8:2
2nd dot: 4:16
3rd dot: 24:8
Now, simply divide 8 from 2, you get 4.
Divide 4 from 16, you get 4
Lastly, divide 24 from 8 and you get 4.
That all rounds up to a integer 4 :}
Hope it helps!!
Answer:
4
Step-by-step explanation:
HELP WHAT IS THE AREA OF THE COMPOSITE FIGURE
Answers
Answer:
[tex]76 ft^3[/tex]
Step-by-step explanation:
First, split the figure into two different rectangular prisms. I found it easiest to split it like this (image attached below).
To find the volume of the lower prism, multiply the Length (6ft) x Width (2ft) x Height (3ft).
6 * 2 * 3 = 36 [tex]ft^3[/tex]
Next, subtract 3 from 8 to get the height of the top prism. 8 - 3 = 5, so the height of the top prism is 5.
Multiply the Length (4ft) x Width (2ft) x Height (5ft).
4 * 2 * 5 = 40 ft[tex]^3[/tex]
Add the two volumes.
40 + 36 = 76 ft^3.
Final answer: [tex]76 ft^3[/tex]
The ounces of yellow paint, y, needed to mix with x ounces of blue paint to make a certain shade of green paint can be represented by the equation y = 1.5x. What is the constant of proportionality of the equation? Calculator
Answers
Answer:
Step-by-step explanation:
A proportional constant satisfies
y/x=k, where k is the constant of proportion
Since
y/x=k
y=kx
You are given
y=1.5x so
k=1.5
Out of 1200 people polled, 30% do not like radio, and 10% of the people who do not like radio also do not like music. How many people polled do not like both radio and music?
Answers
Answer:
10% of people don't like either. Your answer is 120 people.
Step-by-step explanation:
Jamal ate 2/4 of a large pizza from Nancy’s pizza .His sister khaliah ate 1/4 of the pizza .How much of the pizza did they eat in all ?How much of the pizza was left for their brother bilal
Answers
Answer:
They ate 3/4 of the pizza. 1/4 of it was left.
Step-by-step explanation:
Answer:
They ate 3/4 of the pizza.
Bilal had 1/4 of the pizza
Step-by-step explanation:
Brett is filling up his swimming pool. It is a cylindrical shape. How many
cubic meters of water will it take to fill the pool to a height of 1.2 meters if
the pool has a diameter of 4.5 meters?
Answers
Answer:
Hi how are you doing today Jasmine
solve for x please i will love you for the rest of my life
Answers
Answer:
1) x = 14
2) x = 25
Step-by-step explanation:
1)
3x - 2 + 50 = 90
3x + 48 = 90
3x = 42
x = 14
2)
4x + 2 + 78 = 180
4x + 80 = 180
4x = 100
x = 25
What are the composite numbers up to 25
Answers
Answer:
1+25=25
5*5=25
Step-by-step explanation:
Answer:
4 6 8 9 10 12 14 15 16 18 20 21 22 24
HELP THIS IS VERY URGENT.
1. How would you eliminate "x" in the system below? *
Answers
Answer:
You could multiply the top or the bottom equation by a negative (-1) and then add the equation together/continue with the steps of elimination and you will have gotten rid of X. Answer to the problem is (2,4)
Step-by-step explanation:
pls answer quickly as possible
Answers
Your answer will be X = 11 over 2, if that's a 2 over 5 in the beginning of the problem
Can someone plz help me with this one problem!!!
Answers
Answer:
Step-by-step explanation:
The equation y=0 means y always equals zero, so the point (x,y) cannot be (0,7) because that says y=7
Please help me with this, will give Brain
Answers
Answer:
The answer is 1413.72
Step-by-step explanation:
(b)
The store's website is offering the tablet at a 40% discount off the regular price. But Susan's coupon is in-store
only. It cannot be used for purchases on the website. Ignoring tax and shipping, how much would she pay for the
tablet on the store's website?
Answers
Answer:
Step-by-step explanation:
Susan's online tablet would be 40% of the price that
A mini laptop computer is on sale for 40% off the regular price of $450. How much is the discount?
180$
What set of reflections would carry hexagon ABCDEF onto itself?
Hexagon ABCDEF on the coordinate plane with point A at negative 1, 1, point B at negative 3, 1, point C at negative 4, 2, point
(4 points)
x-axis, y=x, x-axis, y=x
y=x, x-axis, y=x, y-axis
y-axis, x-axis, y-axis
x-axis, y-axis, y-axis
Answers
Answer:
Took FLVS test and got it right
A. y=x, x-axis, y=x, y-axis.
Step-by-step explanation:
Took FLVS test and got it right
A. y=x, x-axis, y=x, y-axis.