the length of a tarpaulin is 3 ft. more than thrice its width and its area is 126 ft. squared. What is the length of the tarpaulin?
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Step-by-step explanation:
Let the width of tripaulin be x ft.
Then, length = 3+3x ft.
AtoQ
Area of rectangular tripaulin = 126 ft. squared
L * B = 126
(3+3x) * x =126
3x+3x^2 =126
3x^2+3x-126 =0
3x^2-21x+18x-126=0
3x(x-7)+18(x-7) =0
(x-7)(3x+18)
X = 7
X =-6
Distance can not be negative so x=7 is correct
Then width of rectangle = 7ft.
Length = 3+3*7
= 24ft.
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