Question

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A triangular prism shows 2 equilateral triangular bases and 3 rectangular faces. The side lengths of the equilateral triangular bases are labeled 10 feet.
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Claire and her dad are camping. When they set up the tent, her dad realizes there is a small rectangular hole near the top of the tent. The hole is on the rectangular side of the tent. To patch it, he needs to know the area of the hole. If the hole is similar to the rectangular side by a scale factor of 15
, what is the area of the hole?

(1 point)
ft.2
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Answer 1

The rectangular side is 10 ft by 15 ft, so its area is 10·15 = 150 ft^2. A linear scale factor of 1/5 gives an area scale factor of (1/5)^2 = 1/25. So the hole's area is 150·(1/25) = 6 ft^2.