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

Step-by-step 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.