Question

The total area of a picture frame, including

the glass and 1.5-inch wide wooden frame, is
238 square inches. If the frame is 17 inches
tall, what are the dimensions of the maximum
picture size that will fit in the frame?

Answer 1

To find the dimensions of the maximum picture size that will fit in the frame, subtract the area of the wooden frame from the total area of the frame. The maximum picture size that will fit in the frame is 187 square inches.

Step-by-step explanation:

To find the dimensions of the maximum picture size that will fit in the frame, we need to subtract the area of the wooden frame from the total area of the frame. The total area of the frame is given as 238 square inches and the height of the frame is given as 17 inches. Since the width of the wooden frame is 1.5 inches on all sides, we can subtract twice the product of the height and the width of the wooden frame from the total area to get the maximum picture size.

Let's calculate:

1. Area of the wooden frame = 2 * (height * width) = 2 * (17 * 1.5) = 51 square inches
2. Maximum picture size = Total area - Area of the wooden frame = 238 - 51 = 187 square inches

Therefore, the maximum picture size that will fit in the frame is 187 square inches.