Question

Write and solve an equation to find the number.

The perimeter of a patio is 64 feet. The length (L) is 10 feet longer than the width (W). What is the width of the patio?

Answer 1

9514 1404 393

Answer:

11 feet

Explanation:

Let L and W represent the length and width of the patio. Then ...

L = W + 10

P = 2(L + W)

Substituting for the known values, we have ...

64 = 2((W +10) +W)

64 = 4W +20 . . . . simplify

44 = 4W . . . . . . . . subtract 20

11 = W . . . . . . . . . . divide by 4

The width of the patio is 11 feet.