SOLUTION: The border of a square photo frame has an equal width of 6 cm.The perimeter of the square photo is 112 cm.What is the area of the border?

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Question 352521: The border of a square photo frame has an equal width of 6 cm.The perimeter of the square photo is 112 cm.What is the area of the border?
Answer by robertb(5830) About Me  (Show Source):
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The square must have an edge equal to 28 cm. (Divide the perimeter of 112 cm by 4.)
The area of the square photo is then 28%5E2+=+784+cm%5E2.
Since the border has an equal width of 6 cm, the square photo frame must have an edge equal to 6cm+%2B+28cm+%2B+6cm=40+cm. The area of the square photo frame should then be 40%5E2+=+1600+cm%5E2.
Therefore the area of the border is 1600+cm%5E2+-+784+cm%5E2+=+816+cm%5E2.