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In the figure above, any two intersecting line segments are perpendicu

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In the figure above, any two intersecting line segments are perpendicu  [#permalink]

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06 Nov 2017, 21:50
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73% (00:42) correct 27% (00:00) wrong based on 20 sessions

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In the figure above, any two intersecting line segments are perpendicular. What is the area of the shaded region?

(A) 37 1/2
(B) 50
(C) 57
(D) 66
(E) 75

Attachment:

2017-11-07_0940_003.png [ 2.94 KiB | Viewed 496 times ]

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In the figure above, any two intersecting line segments are perpendicu  [#permalink]

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06 Nov 2017, 21:56
The area of the vertical rectangle is 3x10=30
The area of the horizontal rectangle is 3x(15-3)= 3x12=36, since we've accounted for 3 units of the horizontal rectangle in the calculation for the vertical rectangle.
Total area= 30+36=66
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Re: In the figure above, any two intersecting line segments are perpendicu  [#permalink]

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12 Nov 2017, 07:28
Bunuel wrote:

In the figure above, any two intersecting line segments are perpendicular. What is the area of the shaded region?

(A) 37 1/2
(B) 50
(C) 57
(D) 66
(E) 75

Attachment:
2017-11-07_0940_003.png

We see that the area of the long horizontal piece BEFORE the intersection is:

3 x (15 - 3) = 36

The area of the vertical piece with the intersection is:

3 x 10 = 30

Thus, the total area is 36 + 30 = 66.

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Re: In the figure above, any two intersecting line segments are perpendicu  [#permalink]

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12 Nov 2017, 07:55
Attachment:

2017-11-07_0940_003.png [ 3.37 KiB | Viewed 329 times ]

The figure can be divided into 2 parts, A and B

Area of A is 7*3 = 21
Area of B is 15*3 = 45

Total area of the figure is 66 , answer will be (D)
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Re: In the figure above, any two intersecting line segments are perpendicu &nbs [#permalink] 12 Nov 2017, 07:55
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