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05 Feb 2018, 06:53
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C
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In the rectangle above, what is the ratio of (area of shaded region)/(area of unshaded region)
(A) 1:4
(B) 1:2
(C) 1:1
(D) 2:1
(E) 3:1
Attachment:
2018-02-05_1750.png [ 13.04 KiB | Viewed 7403 times ]
05 Feb 2018, 07:52
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Attachment:
2018-02-05_1750.png [ 13.9 KiB | Viewed 6275 times ]
In the rectangle above, the triangle with similar base and height will have an equal area.
Hence, Area(Triangle 1) = Area(Triangle 2)
Similarly, Area(Triangle 3) = Area(Triangle 4)
Area(Triangle2) + Area(Triangle3) = Area(Triangle1) + Area(Triangle4)
Therefore, (area of shaded region) = (area of unshaded region)
The ratio of (area of shaded region)/(area of unshaded region) is 1:1(Option C)
05 Feb 2018, 07:54
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Area of unshaded = 1/2 * x * y
Area of shaded = 1/2 * x * a + 1/2 * x * (y - a) = 1/2 * x * y
Ratio of shaded to unshaded = 1 : 1
Answer: C
Area of shaded = 1/2 * x * a + 1/2 * x * (y - a) = 1/2 * x * y
Ratio of shaded to unshaded = 1 : 1
Answer: C
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