Question

Harriet would like to frame her graduation picture. The picture is 8 inches wide and 11 inches long. She wants the total area of the picture and frame to be 108 square inches. How wide should the border around the picture be?

Answer 1

To find the width of the border around the picture, solve the quadratic equation formed by the dimensions of the frame and the given total area.

Step-by-step explanation:

To find the width of the border around the picture, we need to determine the dimensions of the frame. Let's assume the width of the border is 'x' inches. The width of the frame will be (8 + 2x) inches and the length of the frame will be (11 + 2x) inches. The total area of the picture and frame is given as 108 square inches.

Thus, we have the equation (8 + 2x)(11 + 2x) = 108. Simplifying and solving this quadratic equation will give us the value of 'x', which represents the width of the border around the picture.