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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?

1 Answer

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Answer:

Perimeter = 28 + 8x inches

Explanation:

Length of the photograph = 7 inches

Width of the photograph = 5 inches

Both the length and width of the frame are 2x inches larger than the width and length of the photograph.

Length of the frame = 7 inches + 2x inches

Width of the frame = 5 inches + 2x inches

Perimeter of the frame = 2(Length + width)

= 2{(7+2x) + (5+2x)}

= 14 + 4x + 10 + 4x

= 28 + 8x inches

Perimeter = 28 + 8x inches

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