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Urgent question in math

Urgent question in math-example-1

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Answer:

1) S = (x + 7)² = x² + 14x + 49

S' = 6² = 36

2) Area of shaded part = x² + 14x + 49 - 36

= x² + 14x + 13

= (x + 1)(x + 13)

3) 36 = (1/4)(x + 7)²

(x + 7)² = 144

x + 7 = 12

x = 5

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