SOLUTION: the length of a rectangle is four times the width.if the perimeter is 160m,find the width and the legth

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: the length of a rectangle is four times the width.if the perimeter is 160m,find the width and the legth      Log On


   

Question 289539: the length of a rectangle is four times the width.if the perimeter is 160m,find the width and the legth
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the formula for the perimeter of a rectangle:
P+=+2L%2B2W Substitute: P = 160cm, L = 4W and solve for W.
160+=+2%284W%29%2B2W Simplify.
160+=+10W Divide both sides by 10.
highlight%28W+=+16%29cm. and L+=+4%2A16 so...
highlight%28L+=+64%29cm.