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Point X lies on side BC of rectangle ABCD, which has length 12 and wid

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Point X lies on side BC of rectangle ABCD, which has length 12 and wid  [#permalink]

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New post 30 Jul 2018, 01:22
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Point X lies on side BC of rectangle ABCD, which has length 12 and width 8. What is the area of triangular region AXD ?

A. 96
B. 48
C. 32
D. 24
E. 20


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(PS09983)

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Re: Point X lies on side BC of rectangle ABCD, which has length 12 and wid  [#permalink]

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New post 30 Jul 2018, 01:44
Bunuel wrote:
Point X lies on side BC of rectangle ABCD, which has length 12 and width 8. What is the area of triangular region AXD ?

A. 96
B. 48
C. 32
D. 24
E. 20


NEW question from GMAT® Quantitative Review 2019


(PS09983)



irrespective what is length or breadth ans will be same..
if BC is 8, height is 12 and area = \(\frac{1}{2}*8*12=48\)
If BC is 12, height is 8 and area = \(\frac{1}{2}*8*12=48\)

B
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Re: Point X lies on side BC of rectangle ABCD, which has length 12 and wid  [#permalink]

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New post 30 Jul 2018, 04:25
Bunuel wrote:
Point X lies on side BC of rectangle ABCD, which has length 12 and width 8. What is the area of triangular region AXD ?


+1 for B.

Area of rectangle ABCD = L * W = 12 * 8 = 96

Since Point X lies on side BC of rectangle, therefore Base of the triangle AD = 12, and Height of the triangle AB = 8

Area of the triangle = 1/2 * B * H = 1/2 * 12 * 8 = 48

Hence, B.
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Re: Point X lies on side BC of rectangle ABCD, which has length 12 and wid  [#permalink]

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New post 10 Aug 2018, 18:50
Bunuel wrote:
Point X lies on side BC of rectangle ABCD, which has length 12 and width 8. What is the area of triangular region AXD ?

A. 96
B. 48
C. 32
D. 24
E. 20


When a triangle is formed by connecting a point on a side of the rectangle and the endpoints of the opposite side of the rectangle, such a triangle will have an area that is half of the area the rectangle. Since rectangle ABCD has an area of 12 x 8 = 96, triangle AXD will have an area of ½(96) = 48.

Answer: B
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Re: Point X lies on side BC of rectangle ABCD, which has length 12 and wid &nbs [#permalink] 10 Aug 2018, 18:50
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