Question

a small square frame has an area of 16 square inches. a large square frame has an area of 64 square inches. how much longer is the side length of the large frame than the side length of the small frame? inches

Explanation:

Step1: Find side length of small frame

The area formula for a square is \(A = s^{2}\), where \(s\) is the side - length. For the small frame with \(A = 16\) square inches, we solve \(s^{2}=16\). Taking the square root of both sides, \(s=\sqrt{16}=4\) inches.

Step2: Find side length of large frame

For the large frame with \(A = 64\) square inches, using the formula \(A = s^{2}\), we solve \(s^{2}=64\). Taking the square root of both sides, \(s=\sqrt{64}=8\) inches.

Step3: Calculate the difference in side lengths

Subtract the side - length of the small frame from the side - length of the large frame. \(8 - 4=4\) inches.

Answer:

4