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16 Dec 2017, 01:28
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A
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Difficulty:
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87% (00:57) correct
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In the rectangular coordinate system above, the area in the shaded region is
(A) 1 1/2
(B) 2
(C) 2 1/2
(D) 3
(E) 4
Attachment:
2017-12-15_1301.png [ 4.71 KiB | Viewed 4035 times ]
16 Dec 2017, 11:36
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Bunuel
In the rectangular coordinate system above, the area in the shaded region is
(A) 1 1/2
(B) 2
(C) 2 1/2
(D) 3
(E) 4
Attachment:
2017-12-15_1301.png
Am I missing something?
Area of triangle: \(\frac{base*height}{2}\)
Area of shaded region: Area of large triangle - Area of small triangle
Area of small triangle: \(\frac{(1*1)}{2}=\frac{1}{2}\)
Area of large triangle: \(\frac{2*height}{2}=height\)
Area of shaded region: \(height\) \(- \frac{1}{2}\)
25 May 2019, 04:24
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exc4libur
Bunuel
In the rectangular coordinate system above, the area in the shaded region is
(A) 1 1/2
(B) 2
(C) 2 1/2
(D) 3
(E) 4
Attachment:
2017-12-15_1301.png
Am I missing something?
Area of triangle: \(\frac{base*height}{2}\)
Area of shaded region: Area of large triangle - Area of small triangle
Area of small triangle: \(\frac{(1*1)}{2}=\frac{1}{2}\)
Area of large triangle: \(\frac{2*height}{2}=height\)
Area of shaded region: \(height\) \(- \frac{1}{2}\)
So, Area of shared region = Area of larger triangle - Area of smaller triangle.
Dimensions of larger triangle are base = 2 units, height = 2 units
Dimensions of smaller triangle are base = 1 unit, height = 1 unit
Area of larger triangle = 1/2*base*height = 1/2*2*2 = 2 units
Area of smaller triangle = 1/2*1*1 = 1/2 units
So, Area of shaded region = 2 - 1/2 = 3/2 or 1 1/2
Option A
Hope its clear!
