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The length of a rectangle increased by a factor of 2, and at the same
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10 Jan 2023, 14:00
10 Jan 2023, 14:00
Expert Reply
00:00
Question Stats:
73% (01:19) correct
26% (01:50) wrong based on 23 sessions
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The length of a rectangle increased by a factor of 2, and at the same time its area increased by a factor of 6.
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 factor by which the width of the rectangle increased |
3 |
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.
Re: The length of a rectangle increased by a factor of 2, and at the same
[#permalink]
15 Jan 2023, 08:13
15 Jan 2023, 08:13
Expert Reply
Based on the information of the stem we do have
4*W=12
W=3
New/Old= 3/1=3
The width increased by a factor of 3
C is the answer
4*W=12
W=3
New/Old= 3/1=3
The width increased by a factor of 3
C is the answer
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Re: The length of a rectangle increased by a factor of 2, and at the same
[#permalink]
30 Dec 2024, 19:33
30 Dec 2024, 19:33
1
The length of a rectangle increased by a factor of 2, and at the same time its area increased by a factor of 6.
Area of rectangle = length (l) * width(w)
Area increased by a factor of 6 and length increased by a factor of 2
=> Area = 6 * Old Area
=> Length = 2 * Old Length
=> 6 * Old Area = 2 * Old Length * Width
=> 3 * Old Area = Old Length * Width
=> Width should be equal to 3 * Old Width to make the equation
=> 3 * Old Area = Old Length * 3 * Old Width
=> Quantity A = Quantity B = 3
So, Answer will be C
Hope it helps!
Area of rectangle = length (l) * width(w)
Area increased by a factor of 6 and length increased by a factor of 2
=> Area = 6 * Old Area
=> Length = 2 * Old Length
=> 6 * Old Area = 2 * Old Length * Width
=> 3 * Old Area = Old Length * Width
=> Width should be equal to 3 * Old Width to make the equation
=> 3 * Old Area = Old Length * 3 * Old Width
=> Quantity A = Quantity B = 3
So, Answer will be C
Hope it helps!
