Question

A 5 inch x 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than

the width and length of the photograph. Which expression represents the perimeter of the frame?

Answer 1

Length of photograph is 7 inch whereas the width of photograph is 5 inch placed in a frame of twice the length and width of the photograph.

Let us take length and breadth of the photo frame as 2x.

Therefore, length given for the frame is (2x+5) inches and width is (2x+7) inches.

Hence, perimeter of the frame is 2( length + breadth) = 2 ((2x+5) + (2x+7)) = 8x + 24.