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:
Answer:
Step-by-step explanation:
<u>The new dimensions will be:</u>
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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