Question

Mrs. son glues a rectangular picture that is 77 inches long and 4\frac{1}{2}4
2
1

inches wide on a piece of rectangular paper. The edge of the rectangular paper measures 22 inches from the edge of the picture on each side as shown. (The image is not drawn to scale.) Determine the area of the paper not covered by the picture.

Answer 1

The area of the paper not covered by the picture is 62 square inches

What information is provided?

• Lenght of the picture: 7 inches
• Width of the picture: 4 1/2 or 4.5 inches
• Distance between the paper and the picture: 2 inches

What is the area not covered by the picture?

This refers to the area of the frame.

• Area: s x s
• Area of the horizontal section: 2 inches x 11 inches (7 + 4) x 2 sides= 44 square inches
• Area of the vertical section: 2 inches x  4.5 inches x 2 = 18 square inches

44 square inches + 18 square inches = 62 square inches

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