Question

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. NextReset

Answer 1

Answer:

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

Step-by-step 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

$70=4x+10$

$4x=70-10$

$x=60/4=15\ in$

Answer 2

Let x be the original side length of the square

P=2(l+w) 
70=2((2.5+x)+(2.5+x))
70=2(5+2x) 
70/2 = 5+2x 
35-5=2x
30=2x
15=x 

Therefore, the original length of the square was 15" 

Hope I helped :)