SOLUTION: the perimeter of a rectangle is 146 inches. The length exceeds the width by 23 inches. Find the length and the width

Algebra ->  Rectangles -> SOLUTION: the perimeter of a rectangle is 146 inches. The length exceeds the width by 23 inches. Find the length and the width      Log On


   



Question 466750: the perimeter of a rectangle is 146 inches. The length exceeds the width by 23 inches. Find the length and the width
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

given:
the perimeter of a rectangle is P=146in

The length L exceeds the width W by 23in
L=W%2B23in
P=2%28L%2BW%29
146in=2%28L%2BW%29...replace L with W%2B23in
146in=2%28W%2B23in%2BW%29
146in%2F2=2%28W%2B23in%2BW%29%2F2
73in=2W%2B23in
73in-23in=2W
50in=2W
50in%2F2=W
W=25in
L=W%2B23in..->....L=25in%2B23in.->....L=48in