Question

the length of each side of the square increases by 2.5 inches to form a new square with a perimeter of 70 inches. The length of each side of the original square was ____ inches

Answer 1

15 inches.

2.5*4=10

70-10 equal 60

60/4=15.

Answer 2

The length of each side of the original square was
`15` inches

Explanation:

Let

x------> the length side of the original square

we know that

The perimeter of a square is equal to

`P=4b`

where

b is the length side of the square

In this problem

`b=(x+2.5)\ in`

`P=70\ in`

substitute

`70=4(x+2.5)`

solve for x

`70=4x+10`

`4x=70-10`

`x=60/4=15\ in`