2

Set 1: Triangles

Explanation

Answer: D

A rectangular garden measures 12 feet by 16 feet. What is the length of a diagonal path across the garden?

A.

40

B.

30

C.

10

D.

20

✓ Correct

Detailed Explanation

Choice D is correct. Using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 1. Given values: 12 and 16 Calculate: 122+162=144+256=40012^2 + 16^2 = 144 + 256 = 400 Take square root: 400=20\sqrt{400} = 20 Therefore, the answer is 20 feet.

Key Steps:

•

The correct answer is 20

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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