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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.

1 Answer

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Answer:

width= 25 inches

length= 34 inches

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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