evanmatsuda033 evanmatsuda033
  • 08-02-2021
  • Mathematics
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The length of a rectangle is two times its width. Find the area if its perimeter is 7 1/3

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daemanisthebestsavag
daemanisthebestsavag daemanisthebestsavag
  • 08-02-2021

Let x be the width

width = x

Length is twice its width

length = 2x

Perimeter = length + width + length + width

Perimeter = x + 2x + x + 2x = 6x

Given that perimeter = 7 1/3

6x = 7 1/3

x = 7 1/3 ÷ 6 = 1 2/9

So width = 1 2/9

Length = 1 2/9 x 2 = 2 4/9

Area = length x width

Area = 1 2/9 x 2 4/9

Area = 2 80/81 square cm

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