3

Set 3: Triangles

Explanation

Answer: A

A triangular section of a lawn has a base of 15 miles and a perpendicular height of 19 miles. What is the area of this section?

A.

142.5

✓ Correct
B.

71

C.

132.5

D.

152.5

Detailed Explanation

Choice A is correct. Area of a triangle: A=12×base×heightA = \frac{1}{2} \times base \times height 1. A=12×15×19A = \frac{1}{2} \times 15 \times 19 A=12×285A = \frac{1}{2} \times 285 A=142.5A = 142.5 Therefore, the area is 142.5 square miles.

Key Steps:

The correct answer is 142.5

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