the length of a rectangle is twice of its width and its area is equal to the area of a square with 12 cm sides what will be the perimeter of the recta
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HESI A2

HESI A2 Quizlet Math

1. The length of a rectangle is twice its width, and its area is equal to the area of a square with 12 cm sides. What will be the perimeter of the rectangle to the nearest whole number?

Correct answer: A

Rationale: Let the width of the rectangle be x cm, and its length be 2x cm. The area of the rectangle is 2x * x = 2x², and the area of the square is 12² = 144 cm². Setting the areas equal gives 2x² = 144. Solving for x gives x = 6. Thus, the width is 6 cm, and the length is 12 cm. The perimeter is 2(6 + 12) = 36 cm. Therefore, the correct answer is 36 cm. Choice B, 46 cm, is incorrect because it does not match the calculated perimeter. Choices C and D are also incorrect as they do not reflect the correct calculation of the rectangle's perimeter.

2. Farmer Juan finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens are needed to produce 24 eggs in 24 hours?

Correct answer: C

Rationale: If 2 chickens produce 6 eggs in 24 hours, to produce 24 eggs in the same time frame, you would need 8 chickens. Therefore, Choice C is correct. Choice A (48) is incorrect because it miscalculates the number of chickens required. Choice B (18) is incorrect as it does not consider the proportional relationship between chickens and eggs. Choice D (6) is incorrect as it doesn't account for the increased number of eggs.

3. The physician orders 1000 mg of Benadryl liquid; 1 g = 1 tsp. How many teaspoons will you give?

Correct answer: C

Rationale: Since 1 gram (g) equals 1000 milligrams (mg) and 1 g = 1 teaspoon (tsp), the prescribed 1000 mg is equal to 1 tsp. Therefore, you will give 1 teaspoon of the Benadryl liquid. Choices A, B, and D are incorrect because they do not correspond to the correct conversion of 1 g to 1 tsp, which is essential in solving this dosage calculation.

4. Convert the decimal to a percent: 0.000026

Correct answer: A

Rationale: To convert a decimal to a percent, you multiply by 100. In this case, 0.000026 * 100 = 0.0026%. Therefore, the correct answer is A: 0.0026%. Choices B, C, and D are incorrect because they incorrectly place the decimal point, resulting in percentages that are too large.

5. How many pints are in 56 ounces?

Correct answer: B

Rationale: To find out how many pints are in 56 ounces, you need to divide 56 by 16 (as there are 16 ounces in a pint). This results in 3.5 pints, making choice B the correct answer. Choices A, C, and D are incorrect because they do not accurately calculate the conversion from ounces to pints.

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