Quiz #3 Geometry
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Test 3, Geometry
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Question 1 of 10
1. Question
How many rectangular tiles will be required to cover the rectangular area of 2 m^{2}, if a tile’s diagonal length is 50 cm^{2} and the tiles’ rectangular lengths are integer numbers?
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Solution: The width and height of the tiles are integer numbers. According to the Pythagorean Theorem, these values are 30 and 40 cm (or 40 and 30 cm), respectively, for a known diagonal equal to 50 cm. Therefore, the number of tiles required to cover a floor with an area of 2 m^{2} is equal 2×100×100/30/40≈16.7 (17).
Answer: 17.

Question 2 of 10
2. Question
 (5, 5.1, 5 m, 5.1 m, 5m, 5.1m)
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Question 3 of 10
3. Question
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Answer: 4 m or 3 m. (Pythagorean Theorem).

Question 4 of 10
4. Question
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Question 5 of 10
5. Question
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Question 6 of 10
6. Question
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Solution: A closed smooth curve without selfintersections on a flat surface can be stretched, presenting a circle. The circumference of the right and left skis differ by Δ=2 × π × 0.15 ≈ 0.94 m and does not depend on the length of a smooth curve.
Answer: Δ≈0.94 m.

Question 7 of 10
7. Question
A truck with a width of 2 m has to pass under the bridge in the shape of a semicircle with a radius of 4 m. What should the maximum height of the truck be if it does not touch the bridge? In the response, estimate the approximate value to the nearest tenth.
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Question 8 of 10
8. Question
Give an answer as an approximate value to the nearest tenth without measurement units.
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Question 9 of 10
9. Question
Please, round an answer to the nearest integer and present it without measurement units
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Question 10 of 10
10. Question
Give an answer as a number without measurement units.
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Answer: ≈471 m^{2}.