luuhlissa
luuhlissa luuhlissa
  • 30-03-2022
  • Mathematics
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Write an equation to represent the shaded area. Then find the value of x.

Write an equation to represent the shaded area Then find the value of x class=
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tonytlan06
tonytlan06 tonytlan06
  • 30-03-2022

Shaded area = (9 + x)(16 + x) = 198

Expand.

x^2 + 25x + 144 = 198

x^2 + 25x - 54 = 0

(x - 2)(x + 27) = 0

x = 2, -27

but x > 0, so

x = 2 cm

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