SOLUTION: The perimeter of rectagular window is 15 ft. Its width is 1/4 of its length. Find the dimensions of the window.

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Question 941560: The perimeter of rectagular window is 15 ft. Its width is 1/4 of its length. Find the dimensions of the window.
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
perimeter = 15 feet
let x be the length of rectangular window
width =x/4
Perimeter = 2 (length+width)
15=2%28x%2B%28x%2F4%29%29
+15+=+2%28+%284x%2F4%29%2B%28x%2F4%29%29+

15+=+2%284x%2Bx%29%2F4
+15+=+2%285x%2F4%29
+15+=+5x%2F2
multiply with 2 on both sides
+15%2A2+=+%285x%2F2%29%2A2
+30+=+5x
divide with 5 on both sides
+30%2F5+=+5x%2F5
6=x


length (x) = 6 ft
width = x/4 =6/4
=1.5 ft

Result: length = 6 ft , width = 1.5 ft