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Let the “par” of a rectangle be defined as one half the area
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24 Mar 2018, 02:09
24 Mar 2018, 02:09
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Question Stats:
87% (00:44) correct
12% (01:01) wrong based on 39 sessions
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Let the “par” of a rectangle be defined as one half the area of that rectangle.
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The par of a rectangle with a perimeter of 24 and a width of 2 |
11 |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Drill 1
Question: 2
Page: 546
Question: 2
Page: 546
Sherpa Prep Representative
Joined: 15 Jan 2018
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Re: Let the “par” of a rectangle be defined as one half the area
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25 Mar 2018, 19:36
25 Mar 2018, 19:36
1
Expert Reply
Don't be scared off by weird terminology. Half the point of problems like this is to convince people that they can't solve it because they've never studied pars before. But when they use these obscure math terms, they will always define it for you. Just follow directions!
Anyway a par apparently is just half the area of the rectangle. So let's figure out the area of the rectangle and try not to forget to divide it in half at the end. It helps to draw a picture. If the width is 2, then the width of the opposite side is obviously 2 as well. Since the perimeter is 24, we have 20 left, to divide between the other two sides. So the other 2 sides must be 10 each.
Thus, the area of this rectangle is 20. If you forget to divide by 2 you'll get the wrong answer, but since the par is 10, the answer is B.
Anyway a par apparently is just half the area of the rectangle. So let's figure out the area of the rectangle and try not to forget to divide it in half at the end. It helps to draw a picture. If the width is 2, then the width of the opposite side is obviously 2 as well. Since the perimeter is 24, we have 20 left, to divide between the other two sides. So the other 2 sides must be 10 each.
Thus, the area of this rectangle is 20. If you forget to divide by 2 you'll get the wrong answer, but since the par is 10, the answer is B.
Re: Let the “par” of a rectangle be defined as one half the area
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28 Mar 2018, 13:26
28 Mar 2018, 13:26
Expert Reply
Explanation
Draw it.
The rectangle in Quantity A has two sides of 2, for a total of 4. The remaining 20 units in the perimeter are divided evenly into two sides of length 10; the area of this rectangle is lw = (2)(10) = 20, and the “par” is one half that, or 10.
Quantity B is greater.
Draw it.
The rectangle in Quantity A has two sides of 2, for a total of 4. The remaining 20 units in the perimeter are divided evenly into two sides of length 10; the area of this rectangle is lw = (2)(10) = 20, and the “par” is one half that, or 10.
Quantity B is greater.
