Length of the rectangle

Question

A rectangle has a length of 38 inches less than 4 times the width. If the area of the rectangle is 722 square inches, find the length of the rectangle.

Answer 1

Length = 38 inches

Width = 19 inches

Area = 38(19) = 722 in^2

L = 4w-38 = 4(19)-38= 38

722 = LW = (4W-38)(W)

4W^2 -38W -722 =0

factor

(4W-38)(W-19) =0

W=19 = width

L=4W-38=4(19)-38= 38 Length