3

Set 4: Triangles

Explanation

Answer: B

Emma wants to build a triangular fence for a farm. Two sides measure 20 kilometers and 5 kilometers. If Emma has exactly 41 kilometers of fencing material, what must be the length of the third side?

A.

6

B.

16

✓ Correct
C.

26

D.

8

Detailed Explanation

Choice B is correct. The perimeter of a triangle is the sum of all three sides. 1. Total perimeter: 41 kilometers Two known sides: 20 + 5 = 25 kilometers Third side: 41 - 25 = 16 kilometers Therefore, the third side is 16 kilometers.

Key Steps:

The correct answer is 16

Why others are wrong:
A: This would give an incorrect result. Choice A 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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