A rectangular plot of ground having dimensions 26 feet by 30 feet is surrounded by a walk of uniform width. If the area of the walk is 240 feet squared, what is its width?

Answers

Answer 1

Answer:

2 ft

Step-by-step explanation:

Given that Dimensions of rectangular plot are: 26 feet by 30 feet

Length is 26 ft

Width is 30 ft

Area of rectangle = Length [tex]\times[/tex] Width

So, area of given rectangular field is = 26 [tex]\times[/tex] 30 = 780 sq ft

Let the width of the walk = [tex]x[/tex] ft

Kindly refer to the attached image for the given scenario.

Dimensions of the plot with walk = (26+2[tex]x[/tex]) ft by (30+2[tex]x[/tex]) ft

So, area of plot without walk = 780 sq ft

Area of walk = Area with walk - Area of plot

Now, we are given that area of walk = 240 sq ft

So, we get:

240 = (26+2[tex]x[/tex]) [tex]\times[/tex] (30+2[tex]x[/tex]) - 840

[tex]\Rightarrow (26+2x)(30+2x)=780+240\\\Rightarrow 780+4x^2+112x=780+240\\\Rightarrow 4x^2+112x-240=0\\\Rightarrow x^2+28x-60=0\\\Rightarrow x^2+30x-2x-60=0\\\Rightarrow x(x+30)-2(x+30)=0\\\Rightarrow x = 2, -30\ ft[/tex]

[tex]x[/tex] can not be negative, so [tex]x = 2\ ft[/tex]

So, the width of the walk = 2 ft

A Rectangular Plot Of Ground Having Dimensions 26 Feet By 30 Feet Is Surrounded By A Walk Of Uniform

Related Questions

Jeffrey went to the movies with his friends. The tickets cost $8.50 each for students and they spent $15.00 altogether at the concession stand. Their total was $49.00. How many people went to the movies?

Answers

Answer:

4 people

Step-by-step explanation:

Let's first write an equation.

We want to find the number of tickets t

The total was $49 so our equation will equal $49 and they spent $15 in snacks so on the other side of the eqaution we have to add $15, on the same side as the snacks we need to add in the cost of tickets, which is $8.50 multiplies by t, or the total number of tickets.

$49 = $8.50t + $15

Solve for t, first subtract $15 from both sides.

$49 - $15 = $8.50t

$34 = $8.50t   Divide both sides by $8.50

$34/$8.50 =  $8.50t/$8.50  

$34/$8.50 = t

4 = t

4 tickets meaning 4 people went.

Help wanted! what is 20 divided by 5 times 1?

Answers

its 4,

=(20/5)1

= (4)1=4

Answer:

4

Step-by-step explanation:

20÷5x1

20÷5=4

4x1=4

35 over 11 rounded to the nearest tenth

Answers

35 over 11 rounded to the nearest tenth would be 3.2

Which of the following fractions is an improper fraction?
2/3
6/11
21/25
8/7

Answers

Answer:

8/7

Step-by-step explanation:

The Numerator is bigger than the denominator which in turn can be converted to a mixed fraction.


What is the value of m in the equation {m- n = 16, when n = 8?




Answers

Answer:

m=44

Step-by-step explanation:

Answer:

m=44

Step-by-step explanation:

simplify (-4x^5)(4x^2)

Answers

Answer:

-16x^7

Step-by-step explanation:

Multiply -4 by 4 and x^5 by x^2:

(-4)(4)(x^5)(x^2) = -16x^7

Answer:

14

Step-by-step explanation:

Would the sum of -13 and 20 be positive or negative? Explain your reasoning. Use complete sentences.

Answers

Answer:

Positive

Step-by-step explanation:

-13 plus positive 20 equals positive 7

Find two rational numbers between -1 and 0

Answers

Answer:

-1/2 and -3/4

Step-by-step explanation:

rational numbers are numbers that can be expressed in a fraction

To obtain the graph of y = (x - 8)2, shift the graph of y = 2____ units.

Answers

Answer:

y = 2(8-x)

Step-by-step explanation:

you just swich around the numebers and the( ta da)

find three consecutive even integers whose sum is 54

Answers

17, 18, 19

17+18+19=54

>

Please help!!! Do In 20 minutes

Answers

Answer:

The side length of the square would be (b - a) , so I believe the answer would be the one you have highlighted.

What is the distance formula

Answers

Answer:

the firdst image in the uper left corner

Step-by-step explanation:

DISTANCE

The formula in finding the distance between two points is given below:

[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\:\:}}[/tex]

[tex]\\[/tex]

Cheers!

Determine the statement that is logically equivalent to this conditional statement.
If you have a small lawn to mow, then you do not live in a mansion.
A)
If you have a small lawn to mow, then you live in a mansion.
B)
If you do not have a small lawn to mow, then you live in a mansion.
If you live in a mansion, then you do not have a small lawn to mow.
D)
If you do not live in a mansion, then you have a small yard to mow.

Answers

Answer:

C) If you live in a mansion, then you do not have a small lawn to mow.

Step-by-step explanation:

Statement is

If you have a small lawn to mow, then you do not live in a mansion. "If p then q"

Equivalent statement as per the rule should be:

1. Not p or q2. q or not p3. If not q then not p

Options to identify equivalent statement

A)  If you have a small lawn to mow, then you live in a mansion.

False

B)  If you do not have a small lawn to mow, then you live in a mansion.

False

C) If you live in a mansion, then you do not have a small lawn to mow.

True as per rule 3 above

D)  If you do not live in a mansion, then you have a small yard to mow.

False

Correct answer is option C)

Pls help im timedTrey converted 12,500,000 into scientific notation as 12.5 * 10 to the power of 6 his he correct

Answers

Answer:

12,500,000 (twelve million five hundred thousand) is an even eight-digits composite number following 12499999 and preceding 12500001. In scientific notation, it is written as 1.25 × 107.

Step-by-step explanation:

what is the answer to 3(5)​

Answers

Answer: 15

Step-by-step explanation:

3x5=15

The answer is gonna be 15

Maude and Ahmed each drove their cars for 4.6 hours. In that time, Maude drove 230 miles. Ahmed drove 10 miles per hour slower than Maude drove. Write an equation that can be used to determine the distance, y, in miles, that Ahmed drove in h hours. Use your equation to determine how many more miles Maude drove in h hours than Ahmed drove. Show your work.

Answers

Answer:

y = 4.6 * (230 -10) ... 1,012 - Ahmed ... 1058 - Maude

Which coordinate pair identifies a point in the third quadrant of the coordinate plane?

Answers

Answer:

-,-

Step-by-step explanation:

the y axis is negative and the x axis is also negative

hope this helps

negative two minus negative 5

Answers

I think the answer to your question is 3

Answer:

3

Subtract the smaller number from the greater number.

You get -3, right?

Remeber the key rule- negative minus negative is positive.

subtract -9x-7 from 8x2 -5x +9​

Answers

Answer:

8x2+4x+16

Step-by-step explanation:

first you would place as so

8x2-5x+9 - (-9x-7)

you would then change question to addition but do this you would have to switch the signs for the one in the parenthisis. it would look like 8x2-5x+9 + 9x+7

You then add like terms and put them into standard form.

hope this helps!!

which coordinate pair represents the reflection of poin A across the y-axis

Answers

Answer:

i need and image

Step-by-step explanation:

Suppose PQ has P(a,b) and midpoint M(c,d). What is an expression for PM? Use the expression for PM to find an expression for PQ.
PM= ________

Answers

Answer:

[tex]PM = \sqrt{(a - c)^2 + (b-d)^2}[/tex]

Step-by-step explanation:

Relevant data provided as per the requirement of question is shown below:-

M(c,d)is a midpoint of PQ

PM = MQ

The expression for PM to find an expression for PQ is shown below:-

Where,

[tex]PM = \sqrt{(a - c)^2 + (b-d)^2}[/tex]

Which is equals to MQ

and

[tex]MQ = \sqrt{(a - c)^2 + (b - d)^2}[/tex]

For more clarification, the diagram has been presented below:-

I______I______I

P           M          Q

(a,b)     (c,d)

A 13/16
A -inch-long bolt is used in a machine. What is the length of the bolt written as a decimal?

Answers

Answer:

13/16 = 0.813

Step-by-step explanation:

Solve for y
y - 5x = 11?

Answers

Answer:

y=16

Step-by-step explanation:

y = 11-5x

= 16

y = 16

this is the answer

xxxx delete answer xxxx

a=14; what does 15+5+a equal

Answers

Answer:

34

Step-by-step explanation:

So because you are given that a= 14, You just need to replace a with 14 in the equatio so it becomes:

15 + 5 + 14

15 + 5 = 20

20 + 14 = 34

All you do is replace a with 14 then add 15, 5 and 14 getting 34.

HOPE IT HELPED

m DEF = 144° and m GEF = 69°. Find m DEG

Answers

Answer:

Angle DEG = 75 degrees

Step-by-step explanation:

Step 1:

m DEF - m GEF = m DEG

Step 2:

144 - 69 = 75

Answer:

75 degrees

4.9x 10^2 as a decimal number????

Answers

Answer:

490.0...

Step-by-step explanation:

4.9 x 10^2

(squared)

4.9 x 10 x 10

the easiest way to do this is to move the decimal 2 places to the right, as

10 x 10 = 100

4.9 x 100 = 490.0...

|7 – x| + |3x| when x = 2

Answers

Answer:

Answer= 11

Step-by-step explanation:

|7 – (2)| + |3 (2)|

|5| + |6| = 5 + 6 = 11

what is 8 ninths plus 7 fifteenths

Answers

Answer:

122/90 or 1 32/90

Step-by-step explanation:

8/9 and 7/15 have the common denominator of 90.

Step 1:

8/9 + 7/15

Step 2:

80/90 + 42/90

Step 3:

122/90

Answer:

122/90 or 1 32/90

Hope This Helps :)

I'm rather stuck on this question

Answers

Answer:

m<a = 30°

m<b = 90°

m<c = 60°

Step-by-step explanation:

Angles a, b, and c are all angles on a straight line.

Angles on a straight line add up to 180°.

Therefore, a + b + c = 180°

Given that a:b:c = 1:3:2, the measure of each can be calculated as follows:

Measure of each angle = the ratio proportion of that angle ÷ total ratio proportion * 180°

m<a = [tex] \frac{1}{6} * 180 = 30 [/tex]

m<b = [tex] \frac{3}{6} * 180 = 90 [/tex]

m<c = [tex] \frac{2}{6} * 180 = 60 [/tex]

The finished inside diameter of the Piston ring is normally distributed with a mean of 4 inches and standard deviation of 0.01 inch. Below what value of inside diameter will 15% of the Piston ring fall

Answers

Answer:

3.98964 inches

Step-by-step explanation:

We are given;

Mean; μ = 4 inches

Standard deviation; σ = 0.01 inch

Probability = 15% = 0.15

Formula to calculate z-value is given by;

z = (X - μ)/σ

Now, since we are given the probability to be below 0.15,thus;

From z - table attached, the z value that corresponds to a probability of 0.15 is -1.036.

Thus, plugging in the relevant values into the z score equation gives;

-1.036 = (x - 4)/0.01

Cross multiply to give;

-0.01036 = x - 4

x = 4 - 0.01036

x = 3.98964 inches

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