The Gilberts are designing a rectangular patio for their backyard. The patio has an area of 432 square feet. The width of the patio is 3/4 its length . What is the length of the patio ?

6 answers

Represent the unknowns.
Let x = length
since the width is 3/4 of the length,
Let (3/4)x = width

Recall that the area of rectangle is just width multiplied by the length,
A = w * l
Substituting,
432 = (3/4)x * x
432 = (3/4)x^2
432 * 4/3 = x^2
576 = x^2
Get the square root of both sides,
x = 24 feet (length)

Note that you should only get the positive root since dimensions (length, width, etc.) cannot be negative.

Hope this helps~ :3

270

4577

So, then what is the answer?????

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