Question

If the sides of a square are increased by 3 inches, the area becomes 64
square inches. Determine the length of the sides of the original square.

Answer 1

Answer:

$Length\ of\ the\ side=5\ inches$

Step-by-step explanation:

Let x be the length of the sides of the original square.

Given:

The sides of a square are increased by 3 inches, the area becomes 64

So, the length of the side $x+3$

The area of the square is

$Area=(length\ of\ the\ side)^{2}$

$Area=(x+3)^{2}$

Substitute area value in above equation.

$64=(x+3)^{2}$

$(x+3)=(64)^{\frac{1}{2}}$

$x+3=\sqrt{64}$

$x+3=\sqrt{8^{2}}$

$x+3=8$

$x=8-3$

$x=5\ inches$

Therefore, the length of the sides of the original square is 5 inches.