4

Set 5: Triangles

Explanation

Answer: D

A triangular plot of land has a base measuring 11 miles and an altitude of 19 miles. Calculate the area of the plot.

A.

52

B.

114.5

C.

94.5

D.

104.5

✓ Correct

Detailed Explanation

Choice D is correct. Area of a triangle: A=12×base×heightA = \frac{1}{2} \times base \times height 1. A=12×11×19A = \frac{1}{2} \times 11 \times 19 A=12×209A = \frac{1}{2} \times 209 A=104.5A = 104.5 Therefore, the area is 104.5 square miles.

Key Steps:

The correct answer is 104.5

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.
C: This would give an incorrect result. Choice C is incorrect and may result from a calculation error.

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