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A rectangle has a width that is 3 less than twice the length. If the rectangle has an area of 170 square inches, what is the length of the rectangle?

Respuesta :

Answer:

Step-by-step explanation:

Length = L.

Width = 2L-3.

A = L * W = 170.

L * (2L-3) = 170.

2L^2 - 3L - 170 = 0,

L = (-B +- Sqrt(B^2-4AC))/2A.

L = (3 +- Sqrt(9 + 1360))/4,

L = (3 +- 37)/4 = 0.75 +- 9.25 = 10, and -8.5. In.

Use positive value: L = 10 In.

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