Respuesta :

mhanifa

Answer:

  • A. 31 and 19 feet
  • B. 589 square feet

Step-by-step explanation:

Part A

Perimeter formula:

  • P = 2(l + w)

Given

  • l = w + 12
  • P ≤ 100

Substitute l in perimeter formula and solve for w:

  • 2(w + 12 + w) ≤ 100
  • 2w + 12 ≤ 50
  • 2w ≤ 38
  • w ≤ 19

Maximum width is 19 feet and the length is 19 + 12 = 31 feet. In this case all fencing will be used.

Part B

With l = 31 and w = 19, the area is:

  • A = lw
  • A = 31*19 = 589 square feet

Answer:

A = 31*19 = 589 square feet:

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