Question

1. what is the area of the grey matting in this 8” by 10” picture frame if the picture to be framed is 4” x 6”?

24 square inches
56 square inches
64 square inches
80 square inches

Explanation:

Step1: Calculate area of frame

The frame is a rectangle with length \( 10 \) inches and width \( 8 \) inches. The area of a rectangle is given by \( A = l \times w \). So, the area of the frame is \( 10 \times 8 = 80 \) square inches.

Step2: Calculate area of picture

The picture is a rectangle with length \( 6 \) inches and width \( 4 \) inches. Using the area formula for a rectangle, the area of the picture is \( 6 \times 4 = 24 \) 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, \( 80 - 24 = 56 \) square inches.

Answer:

56 square inches