The length of a rectangle is 3 times its width. If the length were increased by 2 inches and the width by 1 inch, the new perimeter would be 62 inches. What is the width and length of the rectangle?

1 Answer
Mar 27, 2018

Length is 21 and width is 7

Explanation:

Ill use l for length and w for width

First it is given that l=3w

New length and breadth is l+2 and w+1 respectively

Also new perimeter is 62

So, l+2+l+2+w+1+w+1=62
or, 2l+2w=56
l+w=28

Now we have two relations between l and w

Substitute first value of l in the second equation
We get,
3w+w=28
4w=28
w=7

Putting this value of w in one of the equations,
l=3*7
l=21

So length is 21 and width is 7