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The dimension of a mural pointed on the wall of a school is 10 ft by 22 ft. the art club wants to paint a new mural that is x feet longer and x feet wider. Find the new dimensions of the new mural with an area of 540 square feet

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mhanifa

Answer:

  • 18 ft and 30 ft

Step-by-step explanation:

The new dimensions will be:

  • 10 + x and 22 + x

The area is 540

Using area equation we get:

  • (10 + x)(22 + x) = 540
  • x² + 32x + 220 = 540
  • x² + 32x = 320
  • x² + 2x*16 + 256 = 320 + 256
  • (x + 16)² = 576
  • x + 16 = √576  (Ignoring the negative root as the length is never negative)
  • x + 16 = 24
  • x = 8

The new dimensions are:

  • 10 + 8 = 18 ft and
  • 22 + 8 = 30 ft

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