saruba wrote:

If the area of a rectangle is 80, what is the angle between the diagonal of the rectangle and its longer side?

1. The perimeter of the rectangle is 84

2. The shorter side of the rectangle is 2

Statement (1) by itself is sufficient. We can find the sides of the rectangle (40 and 2).

Statement (2) by itself is sufficient. We can find the sides of the rectangle (40 and 2).

The correct answer is D.

We know the sides but what about the angle between the diagonal and the longer side?[/quote]

Given that lb = 80

1: 2(l+b) =84

l+b = 42

80/b + b = 42

l^2 - 42l + 80 = 0

l (l-40) - 40 (l - 40) = 0

(l-40)^2

l = 40

b = 2

With the values of l anf b, we can identify the size of the angle between diagnal and longer side.

How? Need to use triagomatic approach. Our concern is taht if we know the sides of the rectangle, then we can get the size of the desired angle. Suff...

2. If the shorter side of the rectangle is 2, then longer si 40. Suff.

Thats D...

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Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html

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