SOLUTION: The length of a rectangle is 5 inches less than 4 times the width. The perimeter is 100 inches. Find the length and the width.

Algebra ->  Rectangles -> SOLUTION: The length of a rectangle is 5 inches less than 4 times the width. The perimeter is 100 inches. Find the length and the width.      Log On


   



Question 1001688: The length of a rectangle is 5 inches less than 4 times the width. The perimeter is 100 inches. Find the length and the width.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Make the width = 'x'
Length = 4x - 5
Perimeter of rectangle
= 2(width) + 2(length)
100 = 2(x) + 2(4x - 5)
100 = 2x + 8x - 10
Collect like terms.
10x = 100 + 10
10x = 110
x = 11
Width = 11 inches
Length = 39 inches
Hope this helps :-)