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3 mi. a 2 mi. what is the perimeter? if necessary, round to the nearest…

Question

3 mi.
a
2 mi.
what is the perimeter? if necessary, round to the nearest tenth.
miles
submit

Explanation:

Step1: Find side length $a$ via Pythagoras

$$a = \sqrt{3^2 - 2^2} = \sqrt{9 - 4} = \sqrt{5} \approx 2.236$$

Step2: Calculate total perimeter

$$\text{Perimeter} = 2 + 3 + \sqrt{5} \approx 2 + 3 + 2.236$$

Step3: Round to nearest tenth

$$7.236 \approx 7.2$$

Answer:

7.2 miles