Respuesta :

angelmiracle177

Answer:

perimeter=4×length

so 72= 4l

divide through by 4

length=18

Answer:

  • 24 inches x 12 inches

Step-by-step explanation:

Perimeter

  • 2l + 2w = 72
  • l + w = 36

Area

  • lw = 288

From the perimeter

  • Reaarrange the equation of the perimeter so that it equates to one of the variables
  • l = 36 - w

Substituting in the area formula

  • (36 - w)(w) = 288
  • 36w - w² = 288
  • w² - 36w + 288 = 0
  • w² - 24w - 12w + 288 = 0
  • w(w - 24) - 12(w - 24) = 0
  • (w - 12)(w - 24) = 0
  • w = 24, 12

The greater value of the two will be the length, and lesser value will be the width.

Dimensions are : 24 inches x 12 inches

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