Question

A squares side are increased by five inches. Find the length of the original square if the perimeter of the new square is 100 inches. Length of side of original square: ______

inches

Answer 1

The length of side of original square is: 20 inches

Explanation:

Let x be the length of side of original square

Then x+5 will be the side of new square

Th formula for perimeter is:

`P = 4*side`

As we know the perimeter of the new square we can use the perimeter to find the value of x

`100 = 4 * (x+5)\\100 = 4x+20\\4x = 100-20\\4x = 80\\(4x)/(4) = (80)/(4)\\x = 20`

The value of x is 20 inches.

Hence,

The length of side of original square is: 20 inches