deavenjohnson deavenjohnson
  • 12-03-2021
  • Mathematics
contestada

the length of a rectangle is 3 times the width if the perimeter is 32 square iches whats the area?

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Skultrix
Skultrix Skultrix
  • 12-03-2021

Set up variables:

l = length

w = width

p = perimeter

A = area

Relations:

A = lw

32 = 2l + 2w (perimeter)

l = 3w

Find the missing info:

32 = 2(3w) + 2w (solve for w)

32 = 6w + 2w = 8w

w = 32/8 = 4

If width equals to 4, then length would be 4 * 3, 12.

Area = 12 * 4 = 48

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