A 5 inch × 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?
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Answer:
(8x+24) inches
Step-by-step explanation:
We are given the dimensions of the photograph is,
Length = 5 inch and Width = 7 inch
Now, the length and width of the frame is '2x' inches larger than the length and width of the photograph.
So, the dimensions of the frame are '2x+5' and '2x+7' inches.
Since, Perimeter of the rectangle = 2(Length + Width)
i.e. Perimeter of the frame = 2(2x+5+2x+7)
i.e. Perimeter of the frame = 2(4x+12)
i.e. Perimeter of the frame = (8x+24) inches
Hence, the expression representing the perimeter of the frame is (8x+24) inches.
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