A large rectangle, divided into 12 small rectangle of the

Question

A large rectangle, divided into 12 small rectangle of the same size. What is the perimeter of the big rectangle?
 
1) Small rectangular perimeter is 300 
2) large rectangular area of 60,000

GMAT TIGER · Answer

2 (a + b) = 300
a + b = 150

ab = 60000/12
ab = 5000
a (150-b) = 5000

a = 100 and b = 50

C.

FN · Answer

man..i thought this would be E.

2) well basically i dont know how the rectangle is laid out.. so the area doesnt tell me much!

i mean..i could stack 60000 blocks high and only 1 block wide..area is the same, 60,000. however the perimeter is 120,002.

1) doesnt tell me much about the perimeters of the bigger rectangle..
depends on how the smaller rectangles are stacked!

together..

insuff..

LakesideB · Answer

I was wondering if ..
a + b = 150
ab = 5000
Sub one in another we get:
a (150 - a) = 5000 --- which will lead to a quadratic equation

You have:
a (150 - b) = 5000 -- how can u substitute a instead of b?

Also this is the length and height of the smaller rectangle inside the bigger one. The question asks us the perimeter of the big rectangle .. ie we need to determine length and height of the bigger rectangle.

Using the data provided, l and h of small rectangle can easily be arrived at ... but unless more information about how the 12 are arranged inside the bigger rectangle .. its not possible to make any inferences about l and h of the big rectangle.

So (E)

A large rectangle, divided into 12 small rectangle of the

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