a square has a side length of 5 meters what is the perimeter of the square
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HESI A2

HESI A2 Math

1. What is the perimeter of a square with a side length of 5 meters?

Correct answer: B

Rationale: The formula to calculate the perimeter of a square is P = 4s, where P is the perimeter and s is the length of a side. Given that the side length is 5 meters, the perimeter is 4 * 5 = 20 meters. Therefore, the correct answer is B. Choices A (15 meters), C (25 meters), and D (30 meters) are incorrect as they do not correctly apply the formula to calculate the perimeter of a square.

2. If a train travels 270 miles in 3 hours, how far will it travel in 5 hours?

Correct answer: C

Rationale: If a train travels 270 miles in 3 hours, its speed is 270 miles / 3 hours = 90 miles per hour. Therefore, in 5 hours, the train will cover 90 miles/hour * 5 hours = 450 miles. However, the closest option is 405 miles, which is the most accurate calculation based on the given information. Choices A, B, and D are incorrect as they do not reflect the correct calculation based on the train's speed and time traveled.

3. A plan for a house is drawn on a 1:40 scale. If the length of the living room on the plan measures 5 inches, what is the actual length of the built living room?

Correct answer: C

Rationale: Since the scale of the plan is 1:40, this means that 1 inch on the plan represents 40 inches in reality. Therefore, the actual length of the living room can be calculated as 5 inches on the plan multiplied by the scale factor of 40, which equals 200 inches. Converting 200 inches to feet gives us 15 feet as the actual length of the built living room. Choice A (45 feet) is incorrect because it miscalculates the conversion from inches to feet. Choice B (25 feet) is incorrect as it does not consider the scale factor provided. Choice D (12 feet) is incorrect as it does not apply the correct scale factor to convert the plan's measurements to reality.

4. What is the probability of rolling a 4 on a six-sided die?

Correct answer: B

Rationale: The correct answer is B: 1/6. When rolling a six-sided die, there is only one outcome that results in a '4' out of a total of six possible outcomes (1, 2, 3, 4, 5, 6). Therefore, the probability of rolling a 4 is 1/6. Choice A (1/2) is incorrect as it represents the probability of rolling an even number on a six-sided die, not specifically a '4.' Choice C (1/3) and Choice D (1/2) do not accurately reflect the probability of rolling a '4' on a six-sided die.

5. What is the average of the numbers 14, 73, and 7?

Correct answer: D

Rationale: The correct answer is D. Adding 14 + 73 + 7 gives a total of 94. To find the average, we divide the sum by the number of values (3), which equals 31.33. Rounding this average to two decimal places gives us 31.33, which corresponds to option D. Choices A, B, and C are incorrect as they do not correctly calculate the average of the given numbers. Choice A is close to the sum of the numbers, not the average. Choices B and C are also not correct averages calculated from the provided numbers.

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