In the rectangle above, what is the ratio of (area of shaded region)

Question

https://gmatclub.com/forum/download/file.php?id=39851 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 2018-02-05_1750.png

pushpitkc · Answer

2018-02-05_1750.png 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)

Kurtosis · Answer

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

JeffTargetTestPrep · Answer

We can let the base of the unshaded triangle = the length of rectangle = n.

We can let the height of the unshaded triangle = width of the rectangle = h.

The area of the unshaded region is the area of the unshaded triangle, which is:

1/2 x n x h = nh/2

The area of the shaded region is the difference between the area of the rectangle and the area of the unshaded triangle:

nh - nh/2 = 2nh/2 - nh/2 = nh/2

So the ratio is 1 : 1.

Answer: C

rahul16singh28 · Answer

Area of Unshaded region  =  \frac{1}{2}*l*b 
 Area of Rectangle  =  l*b 
 Ratio = (\frac{Total Area}{Area of Unshaded Region}) - 1  = 1

bumpbot · Answer

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In the rectangle above, what is the ratio of (area of shaded region)

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In the rectangle above, what is the ratio of (area of shaded region)

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