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In the rectangular coordinate system above, for which of the

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In the rectangular coordinate system above, for which of the [#permalink]  22 Nov 2010, 05:29
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78% (01:34) correct 21% (00:47) wrong based on 32 sessions
In the rectangular coordinate system above, for which of the shaded regions is the area 2?

A. None
B. Q Only
C. Q and R
D. P, Q and R
E. P, Q, R and S
[Reveal] Spoiler: OA

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Kudos [?]: 15491 [0], given: 1557

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In the rectangular coordinate system above, for which of the shaded regions is the area 2?

A. None
B. Q Only
C. Q and R
D. P, Q and R
E. P, Q, R and S

The area of a rectangle equals to area=width*length;

The area of a triangle equals to area=\frac{1}{2}*base*height (also the area of a square=diagonal^2/2);

Now it's easy to calculate the areas of given figure:
area_P=\frac{1}{2}*4*1=2;
area_Q=1*2=2;
area_R=\frac{2^2}{2}=2;
area_S=\frac{1}{2}*3*1=1.5.

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Kudos [?]: 12 [0], given: 42

Area of a triangle = 1/2 * Base * Height,
from the graph we can find out length of base and height of the triangles and rectangles.
P: Base = 4 Height = 1 Area = 1/2 (4)(1) = 2
Q: Base = 1 Height = 2 Area = Base * Height = 1 * 2 = 2
R: For a rhombus area can be calculated using the value of the diagonals ( D1 * D2 ) / 2
i:e (2*2)/2 = 2
S: Base = 3 Height = 1 Area = 1/2 (3)(1) = 1.5

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