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One end of a dam has the shape of a trapezoid with the dimensions indi

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Bunuel
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One end of a dam has the shape of a trapezoid with the dimensions indi [#permalink] New post   24 Sep 2021, 01:30
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One end of a dam has the shape of a trapezoid with the dimensions indicated. What is the dam’s area in square feet?

(A) 1,000
(B) 1,200
(C) 1,500
(D) 1,800
(E) Cannot be determined from the information given.



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100mitra
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Re: One end of a dam has the shape of a trapezoid with the dimensions indi [#permalink] New post   Updated on: 24 Sep 2021, 20:49
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Correct Option D - 1800
Properties of Trapezium
The bases of a trapezium(isosceles) are parallel to each other.
The length of both the diagonals is equal.
The diagonals of a trapezium always intersect each other.
The adjacent interior angles in a trapezium sum up to be 180°.
The sum of all the interior angles in a trapezium is always 360
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Originally posted by 100mitra on 24 Sep 2021, 06:09.
Last edited by 100mitra on 24 Sep 2021, 20:49, edited 2 times in total.
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Re: One end of a dam has the shape of a trapezoid with the dimensions indi [#permalink] New post   24 Sep 2021, 02:18
I believe distance between parallel sides can be determined and hence area can't be calculated.
(E) is correct
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Re: One end of a dam has the shape of a trapezoid with the dimensions indi [#permalink] New post   24 Sep 2021, 09:50
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100mitra wrote:
Correct Option D - 1800
Properties of Trapezium
The bases of a trapezium(isosceles) are parallel to each other.
The length of both the diagonals is equal.
The diagonals of a trapezium always intersect each other.
The adjacent interior angles in a trapezium sum up to be 180°.
The sum of all the interior angles in a trapezium is always 360


All is correct, even the answer, but in the picture there are two small typos:

\(Area = \frac{(AB+FC)xAE}{2}=\frac{(100+140)x15}{2}=1800\)
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Re: One end of a dam has the shape of a trapezoid with the dimensions indi [#permalink] New post   24 Sep 2021, 20:50
andreagonzalez2k wrote:
100mitra wrote:
Correct Option D - 1800
Properties of Trapezium
The bases of a trapezium(isosceles) are parallel to each other.
The length of both the diagonals is equal.
The diagonals of a trapezium always intersect each other.
The adjacent interior angles in a trapezium sum up to be 180°.
The sum of all the interior angles in a trapezium is always 360


All is correct, even the answer, but in the picture there are two small typos:

\(Area = \frac{(AB+FC)xAE}{2}=\frac{(100+140)x15}{2}=1800\)


Thank you :angel:
Appreciated your feedback and edited the same to avoid any ambiguity :)

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Re: One end of a dam has the shape of a trapezoid with the dimensions indi [#permalink]
24 Sep 2021, 20:50
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