SOLUTION: Suppose that the width of a certain rectangle is 5 inches more than one-fourth of its length. The perimeter of the rectangle is 80 inches. Find the length and width of the rectangl

Algebra ->  Rectangles -> SOLUTION: Suppose that the width of a certain rectangle is 5 inches more than one-fourth of its length. The perimeter of the rectangle is 80 inches. Find the length and width of the rectangl      Log On


   



Question 467742: Suppose that the width of a certain rectangle is 5 inches more than one-fourth of its length. The perimeter of the rectangle is 80 inches. Find the length and width of the rectangle
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,

width of a certain rectangle is 5 inches more than one-fourth of its length
Let x and (.25x + 5in) represent the length and width respectively
Question states***
2(x) + 2*(.25x+5in) = 80in
Solving for x
2.5x = 70in
x = 28in, the length. the width is 12in (.25*28in + 5)
CHECKING our Answer***
2*28in + 2*12in = 80in