What is the width of a rectangle if its perimeter is 216 centimeters and its width is 24 centimeters less than its length?

1 Answer

The width is 42 centimeters long and the length is 66 centimeter long

Explanation:

First of all, let's translate the problem into mathematical notation.
We have a rectangle whose width w and length l are unknowns.

The first condition is that the perimeter p is 216 cm long. The perimeter can be computed as twice the width plus twice the length, so:
p=2w+2l2w+2l=216

The second condition is that w is 24 cm less than l, so:
w=l24

Now we can substitute w from the second condition into the first and solve the equation:
2w+2l=216
2(l24)+2l=216
2l48+2l=216
4l=264
l=66

Let's plug l=66 in the second condition and get
w=l24
w=6624=42