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On a scale drawing of a triangular piece of land, the sides of the triangle

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by BTGModeratorVI » Fri Jul 03, 2020 7:20 am
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On a scale drawing of a triangular piece of land, the sides of the triangle have lengths 5, 12, and 13 centimeters. If 1 centimeter on the drawing represents 3 meters, what is the area, in square meters, of the piece of land?

A.  90
B. 180
C. 240
D. 270
E. 540

Answer: D
Source: Official guide
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Re: On a scale drawing of a triangular piece of land, the sides of the triangle

by Brent@GMATPrepNow » Sun Jul 05, 2020 4:54 am
BTGModeratorVI wrote: ↑
Fri Jul 03, 2020 7:20 am
 On a scale drawing of a triangular piece of land, the sides of the triangle have lengths 5, 12, and 13 centimeters. If 1 centimeter on the drawing represents 3 meters, what is the area, in square meters, of the piece of land?

A.  90
B. 180
C. 240
D. 270
E. 540

Answer: D
Source: Official guide
The key here is to recognize that 5, 12 and 13 represent a Pythagorean triplet, which means the triangle in question is a RIGHT TRIANGLE

So, the drawing has sides 5 cm, 12 cm, and 13 cm . . .
Image
. . . which means the piece of land has sides 15 m, 36 m and 39 m

Area of triangle = (base)(height)/2
Area of land = (36)(15)/2 = 270

Answer: D

ASIDE: Other Pythagorean triplets you should know:
3, 4, 5
5, 12, 13
8, 15, 17
7, 24, 25

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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