the width of a rectangular flower bed is 7ft less than the length. The area is 18ftsq. Find the length and the width
1 answer:
Answer:
width = 2ft and length = 9ft
Step-by-step 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
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