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2 years ago

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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 fe

et longer and x feet wider. Find the new dimensions of the new mural with an area of 540 square feet

1 answer:

Westkost [7]2 years ago

6 0

Answer:

18 ft and 30 ft

Step-by-step explanation:

<u>The new dimensions will be:</u>

10 + x and 22 + x

The area is 540

<u>Using area equation we get:</u>

(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

<u>The new dimensions are:</u>

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

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