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Can you help me with question 32? Quadratic Equations

Can you help me with question 32? Quadratic Equations-example-1

1 Answer

4 votes
lets x = width
height = 2x - 4

A = 1/2 b h
63 = 1/2 (x)(2x-4)
126 = 2x^2 - 4x
2(x^2 - 2x - 63) = 0
2(x - 9)(x + 7) = 0
x - 9 = 0; x = 9
x + 7 = 0; x = -7

so width = 9
height = 2(9) - 4 = 18 - 4 = 14

answer
width = 9 in
height = 14 in
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