xpineappleslusheex
xpineappleslusheex xpineappleslusheex
  • 12-10-2018
  • Mathematics
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choixongdong
choixongdong choixongdong
  • 12-10-2018

Perimeter of ABCD:

= 2(4x) + 2(3x+4)

= 8x + 6x + 8

= 14x + 8

Perimeter of EFGH:

= 5x + 5x + x - 3 + 7x - 3

= 18x - 6


Perimeter of both shapes are the same

14x + 8 = 18x - 6

-4x = - 14

  x = 7/2

  x = 3.5

So

The width of rectangle = 3x + 4 = 3(3.5) + 4 = 14.5 cm

The length of rectangle = 4x = 4(3.5) = 14 cm

Area of rectangle = 14.5 x 14 = 203 cm^2

Answer

Area of rectangle = 203 cm^2

Answer Link

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