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the width of a rectangular flower bed is 7ft less than the length. The area is 18ftsq. Find the length and the width

2 Answers

4 votes

Answer:

width = 2ft and length = 9ft

Explanation:

User Fiat
by
5.8k points
2 votes

Answer:

width = 2ft and length = 9ft

Explanation:

width W = x

length L = x +7

area of a rectangle A = L * W

18 = (x + 7) * x

18 = x² + 7x

x² + 7x -18 =0

solve the equation by factorisation

x² -2x + 9x - 18 =0

x(x - 2) + 9(x - 2) =0

(x - 2)(x + 9) = 0

x = 2 and -9

therefore the width is 2ft because it is positive and the negative value is ignored

the length = 2 + 7 = 9ft

User Adrian Nowicki
by
5.7k points
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