A piece of cardboard has been cut into a rectangle with side lengths represented by 9.5x+14.3y cm and 11.7x+22.8y cm. What is the perimeter of the cardboard in terms of and ?

Given:

Sides of a rectangle are 9.5x+14.3y cm and 11.7x+22.8y cm.

To find:

The perimeter of the cardboard in terms of x and y.

Solution:

We know that, perimeter of a rectangle is

Now,

On combining like terms, we get

using distributive property, we get

Therefore, the perimeter of the cardboard in terms of x and y is 42.4x+74.2y cm.