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let the width be z

so length is (3z-10)

Area=length x width

Area=48

z(3z-10)=48

3z2-10z-48=0

3z2-18z+8z-48=0

3z(z-6)+8(z-6)=0

(3z+8)(z-6)=0

z= - (8/3) which is not possible since dimensions can not be negative

So z=6

Width=6

length=3x6-10=8

Dimension= 6 ft x 8 ft

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Q: The length of a rectangle is ten ft less than three times its width find the dimensions if the area is forty eight?
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