a square lawn has an area of 62500 square meters what will is the cost of building fence around it at a rate of 5 per meter
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HESI A2

HESI A2 Quizlet Math

1. What is the cost of building a fence around a square lawn with an area of 62,500 square meters at a rate of $5 per meter?

Correct answer: C

Rationale: To determine the cost of building a fence around the square lawn, first calculate the length of one side by finding the square root of the area: √62500 = 250 meters (length of one side). The perimeter of a square is four times the length of one side, so the perimeter of the lawn is 4 * 250 = 1000 meters. To find the cost of the fence, multiply the perimeter by the cost per meter: 1000 meters * $5/meter = $5000. Therefore, the correct answer is $5,000, which corresponds to choice C. Choice A ($4,000), choice B ($4,500), and choice D ($5,500) are incorrect as they do not accurately calculate the cost based on the given information.

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. What is the result of dividing 3 by 4?

Correct answer: D

Rationale: To divide 3 by 4, we perform the division operation: 3 ÷ 4 = 0.75. The correct answer is 0.75 (D). Choices A, B, and C are incorrect because they do not result from dividing 3 by 4. Choice A (5.75) is the result of dividing 23 by 4, choice B (5.875) is the result of dividing 7 by 1.2, and choice C (6.25) is the result of multiplying 5 by 1.25.

4. A nurse works in a neonatal unit where infants' weights are measured in grams. What is the equivalent of 1,500 grams in pounds?

Correct answer: A

Rationale: To convert grams to pounds, you can use the conversion factor: 1 pound = 453.59237 grams. Therefore, to find the equivalent of 1,500 grams in pounds, divide 1,500 by 453.59237 to get approximately 3.3 pounds. Choice A is the correct answer because it accurately represents the conversion. Choices B, C, and D are duplicates and do not provide an alternative option.

5. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both. Which of the following represents the LCM of 14 and 21?

Correct answer: C

Rationale: Rationale: To find the least common multiple (LCM) of 14 and 21, we need to determine the smallest number that is a multiple of both 14 and 21. First, list the multiples of 14: 14, 28, 42, 56, 70, 84, ... Next, list the multiples of 21: 21, 42, 63, 84, ... The smallest number that appears in both lists is 42. Therefore, the LCM of 14 and 21 is 42.

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