Question

The width of a rectangle is 5 centimeters less than the length . The area of the rectangle is 36 centimeters.find the length?

Answer 1

The width of a rectangle is 5 centimeters less than the length . The area of the rectangle is 36 centimeters.find the length?


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Answer 2

9 centimeters

Explanation:

Let the width be represented by l - 5, where l is the length.

Use the area formula, A = lw, and plug in l - 5 as w, and 36 as the area. Then, simplify and factor

A = lw

36 = l(l - 5)

36 = l² - 5l

0 = l² - 5l - 36

Factor:

(l - 9)(l + 4)

Set equal to zero and solve for both solutions:

(l - 9)(l + 4) = 0

l - 9 = 0

l = 9

l + 4 = 0

l = -4

The length cannot be negative, so the answer has to be 9.

The length is 9 centimeters