Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The length of each side of a 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

The original length of each side was 15 inches.

Explanation:

In this case we have to have clear that the perimeter of square consists in the addition of the length of each one of its four sides, this is:

`perimeter=a+a+a+a`

The new square has a perimeter of 70, and we have to find the original length of each side, the equation will be:

`70=a+2.5+a+2.5+a+2.5+a+2.5`

`70=4a+10`

We have to clear a:

`a=(70-10)/(4) \\a=(60)/(4) \\a=15`

The original length of each side was 15 inches.

Answer 2

15 inches

Explanation:

Suppose length of original square is L inches.

Now, to form a new square the length increases by 2.5 inches

So, new length=L+2.5 inches

Given that, perimeter of new square =70 inches.

Formula:-

Perimeter=4*length of square

Therefore 70=4*(L+2.5)

70 =4 L+10

4 L=60

L=15 inches