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:
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
\(70=4x+10\)
\(4x=70-10\)
\(x=60/4=15\ in\)