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 ?

W = 3/4L

WL = 432

Substitute 3/4L for W in the second equation and solve for L. Insert that value into the first equation to solve for W. Check by putting both values into the second equation.

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To find the length of the patio, we can set up an equation using the given information. Let's denote the length of the patio as "L" and the width as "W".

We are given that the area of the patio is 432 square feet, so we have the equation:

L * W = 432

We are also given that the width of the patio is 3/4 its length, so we can write:

W = (3/4) * L

Substituting this value for W in the area equation, we have:

L * ((3/4) * L) = 432

Now we can solve this equation to find the length of the patio.

432 3/4