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08 Mar 2018, 02:23
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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87% (02:15) correct
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A dam has the dimensions indicated in the figure. Find the area of this isosceles trapezoid.
(A) 1300
(B) 1560
(C) 1400
(D) 1440
(E) It cannot be determined from the information given.
2018-03-08_1321.png [ 13.59 KiB | Viewed 3397 times ]
(A) 1300
(B) 1560
(C) 1400
(D) 1440
(E) It cannot be determined from the information given.
Attachment:
2018-03-08_1321.png [ 13.59 KiB | Viewed 3397 times ]
08 Mar 2018, 02:24
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Bunuel
23. Geometry
- Theory
Everything you need to know about GMAT Geometry in one slideshow
Common Mistakes in Geometry Questions
GMAT Trick: Rules about Figures in GMAT Geometry
INSCRIBED AND CIRCUMSCRIBED POLYGONS ON THE GMAT
Useful Articles and Practice Questions to ace GMAT Geometry
Why Does the GMAT Test Geometry?
24. Coordinate Geometry
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Math: Coordinate Geometry
Beauty of Coordinate geometry
Dealing with Tangents on the GMAT
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PS Questions
25. Triangles
- Theory
- Questions
Math: Triangles
Mastering Important Concepts Tested by GMAT in Triangles - I
Mastering Important Concepts Tested by GMAT in Triangles - II
Mastering Important Concepts Tested by GMAT in Triangles - III
Medians, Altitudes and Angle Bisectors in Special Triangles on GMAT
What Austin Powers Can Teach You about Similar Triangles
Determining the Area of Similar Triangles on the GMAT
Looking for Similar Triangles on the GMAT
GMAT Tip of the Week: Today's Date in Geometry History - Pythagorean Triplets
The Pythagorean Triples Properties You’ll See on the GMAT
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26. Polygons
- Theory
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Math: Polygons
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27. Circles
- Theory
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28. Rectangular Solids and Cylinders
29. Graphs and Illustrations
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For other subjects:
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Ultimate GMAT Quantitative Megathread
08 Mar 2018, 02:56
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Bunuel
When calculating areas, it is very useful to divide a complex shape into simpler ones.
This is an Alternative approach.
Since our trapezoid is isosceles, the two triangles on the sides are identical and have equal bases.
So, each has a base of (70 - 50)/2 = 10
Using the Pythagorean triplet 5-12-13, we know that the height of each triangle is 24.
So, our total area is (square + 2 triangles) = 50*24 + 10*24/2 + 10*24/2 = 60*24 = 1440
(D) is our answer.
Attachments
trapezoid.png [ 9 KiB | Viewed 2999 times ]
