Question

The area of an artist's square canvas can hold 113 square inches of paint. What is the approximate length of one side of the canvas? (Approximate to the nearest hundredth inch.)
10.62 inches
10.63 inches
10.64 inches
10.65 inches

Answer 1

The area of any rectangle is:

A=xy, and a square is just a special rectangle where the two dimensions are equal.  x=y=s, where s is the side length so the area of a square is:

A=s^2  we want to solve for s so

s^2=A

s=√A, and we are told that the area is 113 in^2

s=√113 in

s≈10.63 in (to nearest hundredth of an inch)