3

Set 2: Triangles

Explanation

Answer: C

A triangular section of a lawn has a base of 20 yards and a perpendicular height of 17 yards. What is the area of this section?

A.

85

B.

160

C.

170

✓ Correct
D.

180

Detailed Explanation

Choice C is correct. Area of a triangle: A=12×base×heightA = \frac{1}{2} \times base \times height 1. A=12×20×17A = \frac{1}{2} \times 20 \times 17 A=12×340A = \frac{1}{2} \times 340 A=170A = 170 Therefore, the area is 170 square yards.

Key Steps:

The correct answer is 170

Why others are wrong:
A: This would give an incorrect result. Choice A is incorrect and may result from a calculation error.
B: This would give an incorrect result. Choice B is incorrect and may result from a calculation error.
D: This would give an incorrect result. Choice D is incorrect and may result from a calculation error.

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