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  • 11-12-2018
  • Mathematics
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The length of a rectangle it twice it's within. If the perimeter of the rectangle is 30 cm, find its area.

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gmany
gmany gmany
  • 15-12-2018

w - width

2w - length (l)

30 cm - perimeter

w + w + 2w + 2w = 6w - perimeter

The equation:

6w = 30    divide both sides by 6

w = 5 cm

2w = 2(5) = 10

l = 10 cm

The area of a rectangle: A = lw.

Substitute:

A = (5)(10) = 50

Answer: The area is 50cm²

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