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ABCD and EFGH are rectangles. What is the area of the shaded

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ABCD and EFGH are rectangles. What is the area of the shaded [#permalink] New post 04 Mar 2017, 03:35
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ABCD and EFGH are rectangles. What is the area of the shaded region?

A) 3\(x^2\) — xy

B) 4\(x^2\) — xy

C) 4\(x^2\) — 2xy

D) 6\(x^2\) — xy

E) 6\(x^2\) — 2xy
[Reveal] Spoiler: OA

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Re: ABCD and EFGH are rectangles. What is the area of the shaded [#permalink] New post 07 Mar 2017, 16:07
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Explanation

Find the area of ABCD and EFGH:

Area = \(l \times w\)
Area of ABCD = \(3x \times 2x = 6x^2\)
Area of EFGH = \(x \times y = xy\)

The area of the shaded region is the area of ABCD minus the area of EFGH:

Area of ABCD = \(6x^2\)
Area of EFGH = \(xy\)

Area of the shaded region = \(6x^2 - xy\)

Hence option D is correct.
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Re: ABCD and EFGH are rectangles. What is the area of the shaded   [#permalink] 07 Mar 2017, 16:07
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ABCD and EFGH are rectangles. What is the area of the shaded

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