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. Replete is best defined as being ___________.

Correct answer: C

Rationale: Replete means filled to the utmost capacity or complete in every detail. Therefore, the best definition of replete from the given choices is 'full.' Choice A, 'hardy,' does not accurately reflect the meaning of replete. Choice B, 'quiet,' is unrelated to the definition of replete. Choice D, 'sad,' is also not synonymous with the term replete.

3. A patient needs to increase his calcium intake. If each tablet contains 500 mg of calcium and the patient needs to take 1,500 mg per day, how many tablets should the patient take?

Correct answer: A

Rationale: To calculate the number of tablets needed, divide the total daily calcium intake required (1,500 mg) by the amount of calcium in each tablet (500 mg). 1,500 mg ÷ 500 mg = 3 tablets. Therefore, the patient should take 3 tablets to meet the 1,500 mg daily intake. Choice B, 4 tablets, is incorrect because it would exceed the required 1,500 mg. Choice C, 2 tablets, is insufficient to meet the daily intake. Choice D, 5 tablets, is also incorrect as it would exceed the required amount.

4. Which statement is not listed as a detail within the passage?

Correct answer: A

Rationale: The corrected statement should be: Changes in the ECG are not typically used for the diagnosis of abnormal cardiac rhythm. The passage mentions that the heart sends out electric currents in waves, and the 'wave of excitation' spreads through the heart wall accompanied by electric changes. It details the process of how the heart's electric impulses are recorded and how abnormalities can be detected. However, it does not state that ECG changes are specifically used for diagnosing abnormal cardiac rhythms. Choice A is the correct answer because it misrepresents the information provided in the passage. Choices B, C, and D are all supported by the passage and align with the details mentioned regarding the electrocardiogram and the wave of excitation in the heart.

5. What does 'lethargic' mean?

Correct answer: B

Rationale: Lethargic refers to a state of sluggishness or drowsiness, making it difficult for a person to become alert or aroused. This term is the opposite of being active, energized, or wide awake. Choice A is incorrect as 'lethargic' is the opposite of 'active.' Choice C is incorrect as 'lethargic' implies a lack of energy. Choice D is incorrect as 'lethargic' signifies drowsiness, the opposite of being 'wide awake.' The correct answer is B.

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