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?

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?

Answer :

width: x
length: 3x + 3

A = lw
126 = (x)(3x + 3)
126 = 3x² + 3x
0 = 3x² + 3x – 126
0 = x² + x – 42
0 = (x + 7)(x – 6)

x + 7 = 0
x = -7 reject because there is no negative measure

x – 6 =0
x = 6

If width = 6 ft
length = 3(6) + 3 = 18 + 3 = 21 ft

 

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