You are making a square frame of uniform width for a square picture that has side lengths of 2 feet. The total area of the frame is 5 square feet. What is the length of the sides of the frame

Answer 1

Draw and label a diagram!

w represents the width of the frame

Area of the picture and the frame is

(2 + 2w)²

Area of picture is

2²

Area of the frame is

(2 + 2w)² - 4 = 5

(2 + 2w)² = 9

2 + 2w = 3

2w = 1

w = 0.5