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24 September, 01:59

The length of a rectangle is nine inches more than its width. Its area is 850 square inches. Find the width and length of the rectangle.

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  1. 24 September, 02:24
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    width = 25 inches

    length = 34 inches

    Step-by-step explanation:

    width x length = 850 in²

    w x (9 + w) = 850 in²

    9w + w²=850 in²

    9w + w²-850 = 0

    solve for w using quadratic formula

    w = {-9 ±√ (9) ²-4 (1) (-850) } : 2 (1)

    w = 25; - 34

    The width is 25 because measurements can't be negative.

    width = 25

    length = 25+9=34
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