Gavin has a deck that measures 6 feet by
3 feet. He wants to increase each
dimension by equal lengths so that its
area is tripled. By how much should he
increase each dimension?
Answer:
feet

Each dimension should be increased by four times so that the area is tripled and each dimension is equal in length.

What is a quadratic equation?

Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

In mathematics, a dimension is the length or width of an area, region, or space in one direction.

area = length × width

    a = l × w

But, we want to triple than area;

3A = 3 (l × w)

3A = (k × l) (k × w)

k² = 3

k = √3

The new dimensions will be: 6√3 and 3√3

Increased Dimension: 6√3 - 6 and 3√3 - 3

let x is the amount of increase in each side:

(x + 6) (x + 3) = 3(18)

x² + 3x + 6x + 18 = 54

x² + 9x + 18 = 54

x² + 9x - 36 = 0

∵ x = 4

Hence, each dimension should be increased by four times so that the area is tripled and each dimension is equal in length.

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Answer:3

Step-by-step explanation:

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Costliest Natural Disasters in the U.S.
Disaster
Cost (billions)
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$20.0
Northridge, CA, Earthquake, 1994
$12.5
Hurricane Hugo, 1989
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Hurricane Betsy, 1965
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Tropical Storm Allison, 2001
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