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Bunuel
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Answer = E) ab − (a − 2c)(b − 2c)

Refer diagram below:
Attachment:
rug.png
rug.png [ 2.37 KiB | Viewed 5492 times ]

We require to find area of the shaded region

Total area = ab

Area of non-shaded region = (a-2c)(b-2c)

Area of shaded region = ab − (a − 2c)(b − 2c)
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Bunuel

Tough and Tricky questions: Geometry.



A Persian rug set on a dining room floor measures a inches by b inches, which includes the actual rug design and a solid colored border c inches. Which algebraic expression below represents the area of the solid colored border in square inches?

A) ab − 4c
B) a + b − [(a − c) + (b − c)]
C) 2a + 2b − [2(a − 2c) + 2(b − 2c)]
D) ab − (a − c)(b − c)
E) ab − (a − 2c)(b − 2c)

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You all got it right. The answer is E.
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Area of the outer rectangle - area of the inner rectangle = area of the border
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File comment: Pfa
9E67BA78-6274-4C10-8B8C-017536707098.jpeg
9E67BA78-6274-4C10-8B8C-017536707098.jpeg [ 356.4 KiB | Viewed 1245 times ]

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