Question

1. what is the area of the grey matting in this 16” by 20” picture frame if the picture to be framed is 8” x 10”? image of a picture frame 240 sq. in. 320 sq. in. 480 sq. in. 80 sq. in.

Explanation:

Step1: Calculate area of frame

The frame is a rectangle with length \( 20 \) inches and width \( 16 \) inches. The area of a rectangle is given by \( A = l \times w \). So, the area of the frame is \( 20 \times 16 = 320 \) square inches.

Step2: Calculate area of picture

The picture is a rectangle with length \( 10 \) inches and width \( 8 \) inches. Using the same area formula for a rectangle, the area of the picture is \( 10 \times 8 = 80 \) square inches.

Step3: Calculate area of matting

The area of the grey matting is the area of the frame minus the area of the picture. So, we subtract the area of the picture from the area of the frame: \( 320 - 80 = 240 \) square inches.

Answer:

240 sq. in.