The length of a rectangle is 5 centimeters less than four times its width. Its area is 6 square centimeters. Find the dimensions of the rectangle.

Question

The width is __ and the length is __

Answer 1

L = 4W - 5

 

A = LW = 6

 

(4W - 5)W = 6

 

4W² - 5W - 6 = 0

 

W = 2 or -0.75

 

Choose the positive W.

 

Width = 2 cm

 

L = 4W - 5 = 4(2) - 5 = 3

 

Length = 3 cm

 

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