Question

12. Math on the Spot Libby puts a mat of width m and

a frame of width faround an 8-inch by 10-inch picture.
Find an expression for the perimeter of the entire frame.

Answer 1

The perimeter of the entire frame is equal to the sum of the perimeters of the mat and the picture. The expression for the perimeter of the mat is (2m + 10) + (2m + 8) = 4m + 18, and the expression for the perimeter of the picture is 2(8) + 2(10) = 36. Therefore, the expression for the perimeter of the entire frame is (4m + 18) + 36 = 4m + 54.