contestada

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

Respuesta :

15 inches.

2.5*4=10

70-10 equal 60

60/4=15.

Answer:

The length of each side of the original square was [tex]15[/tex] 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

[tex]P=4b[/tex]

where

b is the length side of the square

In this problem

[tex]b=(x+2.5)\ in[/tex]

[tex]P=70\ in[/tex]

substitute

[tex]70=4(x+2.5)[/tex]

solve for x

[tex]70=4x+10[/tex]

[tex]4x=70-10[/tex]

[tex]x=60/4=15\ in[/tex]

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