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the length of a rectangle is 6 meters more than its width. If the area is 40 square meters, what are the length and width?
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\[x+\]\[w+6 = length\] \[So width is 4 meters and length is 10 meters\]
let the width be x and length be x+6 area=l*w 40=(x+6)(x) x^2+6x=40 x^2+6x-40=0 now solve
x(x+6)=40 ==> x^2 +6x-40=0 ===>(x-4)(x+10) = 10 ===> x=4 ( forget the negative solution) ===> width = 4 ===> length =10
width=4m, length=10m
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