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Explanation Please
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14 Sep 2016, 11:31
14 Sep 2016, 11:31
1
The length of rectangle B is 10% less than the length of rectangle A, and the width of B is 10% greater than A.
Quantity A Quantity B
The area of A The area of B
Quant A is greater
Quant B is greater
Both the same
Indeterminable
I selected indeterminable. As I understand it Length B=.9LA, Width B=1.1WA, LA=1.1LB, and WA=.9WB.
I just plugged 10 and 5 in for random amounts. If LB=10 and WB=5, then LA=11 and LB=4.5 Thus, the Area of B=50 and the Area of A=49.5. However, if LA=10 and WA=5, then LB=9 and WB= 5.5. In that case, the area of A would be 50 and the area of B would be 49.5. How did I screw this up? Thanks in advance for your help!!
Quantity A Quantity B
The area of A The area of B
Quant A is greater
Quant B is greater
Both the same
Indeterminable
I selected indeterminable. As I understand it Length B=.9LA, Width B=1.1WA, LA=1.1LB, and WA=.9WB.
I just plugged 10 and 5 in for random amounts. If LB=10 and WB=5, then LA=11 and LB=4.5 Thus, the Area of B=50 and the Area of A=49.5. However, if LA=10 and WA=5, then LB=9 and WB= 5.5. In that case, the area of A would be 50 and the area of B would be 49.5. How did I screw this up? Thanks in advance for your help!!
Re: Explanation Please
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14 Sep 2016, 11:44
14 Sep 2016, 11:44
Expert Reply
1
Bookmarks
Let L = length of rectangle A
0.9L = length of rectangle B (since the length of rectangle B is 10 percent less than the length of rectangle A)
Let W = width of rectangle A
1.1W = width of rectangle B (since the width of rectangle B is 10 percent greater than the width of rectangle A)
So, we get:
Quantity A: LW
Quantity B: (0.9L)(1.1W)
Simplify to get:
Quantity A: LW
Quantity B: (0.99)LW
LW is greater than (0.99)LW
0.9L = length of rectangle B (since the length of rectangle B is 10 percent less than the length of rectangle A)
Let W = width of rectangle A
1.1W = width of rectangle B (since the width of rectangle B is 10 percent greater than the width of rectangle A)
So, we get:
Quantity A: LW
Quantity B: (0.9L)(1.1W)
Simplify to get:
Quantity A: LW
Quantity B: (0.99)LW
LW is greater than (0.99)LW
Explanation Please
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03 Oct 2022, 11:04
03 Oct 2022, 11:04
1
Great question and even better answer. The question is presented in its original format here:
https://gre.myprepclub.com/forum/the-length-of-rectangle-b-is-10-percent-less-than-the-length-3263.html#p100032
https://gre.myprepclub.com/forum/the-length-of-rectangle-b-is-10-percent-less-than-the-length-3263.html#p100032
