SOLUTION: the perimeter of a rectangle is 24 feet. the width is 30 feet less than 5 times the length. find the width.

Algebra ->  Rectangles -> SOLUTION: the perimeter of a rectangle is 24 feet. the width is 30 feet less than 5 times the length. find the width.      Log On


   

Question 255479: the perimeter of a rectangle is 24 feet. the width is 30 feet less than 5 times the length. find the width.
Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the width W and the length L. Then we have:
W+=+5L+-+30
And we know that the equation for perimeter is 24=2W%2B2L.
So using the substitution above, we have:
24+=+2%285L-30%29%2B2L
24+=+10L-60%2B2L
24+=+12L-60
84+=+12L
7+=+L
So the length is 7 feet. Thus, using our original equation for width, we have a width of 5 feet.