The perimeter of a rectangle is 46 meters. If the width is 15 ​% of the​ length, find the dimensions of the rectangle?

word problem

1 Answer
Oct 10, 2017

20 meters by 3 meters

Explanation:

The formula for perimeter of a rectangle is:

2l+2w where l=length and w=width

We also know that the width is 15% of the length or:

w=0.15l

Combining these two equations and using the fact that P=46:

2l+2(0.15l)=46

Solve for l:

2l+.3l=46
2.3l=46
l=20

So the length is 20 meters

Plug 20 back in for l

w=0.15(20)
w=3

So the width is 3 meters