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. 5\7 + 3\14 = ?

Correct answer: A

Rationale: To add fractions with different denominators, first find a common denominator. The least common denominator between 7 and 14 is 14. Convert 5/7 to 10/14: 5 / 7 = 10 / 14 5/7=10/14 Now add the two fractions: 10 / 14 + 3 / 14 = 13 / 14 10/14+3/14=13/14

3. Out of a total of 50 homes, she sold 11. What percentage of the homes did she sell?

Correct answer: C

Rationale: To find the percentage of homes she sold, divide the number of homes she sold (11) by the total number of homes (50), then multiply by 100. (11 / 50) * 100 = 22%. Therefore, she sold 22% of the homes. Choice A (16%) is incorrect because it is less than the correct percentage. Choice B (18%) is also less than the correct percentage. Choice D (24%) is greater than the correct percentage of homes she sold.

4. What is 75% of 80?

Correct answer: D

Rationale: To calculate 75% of 80, you multiply 0.75 by 80, which equals 60. Therefore, the correct answer is 60. Choices A, B, and C are incorrect because they do not represent 75% of 80. Choice A (35) is close to 50% of 80, Choice B (45) is close to 56.25% of 80, and Choice C (70) exceeds 80.

5. A healthcare professional works in a military hospital from 1300 to 2000. What time of day does this healthcare professional work?

Correct answer: C

Rationale: The correct answer is C: Early afternoon to bedtime. The healthcare professional's work hours from 1300 to 2000 correspond to 1 PM to 8 PM, indicating work during the afternoon and early evening. Choice A (Early morning to early afternoon) is incorrect because the professional works in the afternoon and early evening, not the morning. Choice B (Lunchtime to midnight) is incorrect as the professional finishes work before midnight, not until midnight. Choice D (Midnight to sunrise) is incorrect as the professional's work hours are during the daytime and evening, not overnight.

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