then length of a Rectangle is 3 less than twice the width if the area of the rectangle is 20 square inches what are the dimensions of the rectangle

Answer 1

Let w be the width

Let 2w-3 be the length

Area = L x W

20 = (2w-3)w

20=2w²-3w

Subtract 20 from both sides

0=2w²-3w-20

Factor

0=(2w+5)(w-4)

Set each equal to 0

2w+5=0 Solve for w w=-5/2 disregard because you cannot have a negative side

w-4=0

w=4

width is 4 inches

length 2w-3=2(4)-3=8-3=5 inches