Data Sufficiency: What percentage of the area in the figure

Question

Data Sufficiency: What percentage of the area in the figure is shaded?
(1) s*r = 50
(2) a = 60 degrees.

g.matter · Answer

The figure did not come through

Damager · Answer

Something does not make sense in ths Q

Based on diagram the shaded trinagle and the rectangle share the same base and hight

so are of triangle shaded = 1/2 s*H 

Area of rectangle = s * H

so shaded area is 1/2 of overall area

we donot need any other info.

I might be wrong if the figure is not rectangle

kidderek · Answer

How do we know it's a rectangle?

hosam · Answer

I think it's B

We need 2 to find the width of the rectangle to be 2r
so the area of the rectangle is 2sr

The area of the triangle is (1/2)(s)(2r) = sr

Therefore the area of the triangle is 50% of the area of the rectangle

terp26 · Answer

It is E, we dont know if it is a rectangle, or do we know the triangle is fully inscribed inside of the figure. We don't know much.

trivikram · Answer

Should be B


width of rectangle = r/Sin30 = 2r

So area of rectangle 2rs


Area of triangle = 1/2*2r*s =rs

So triangle = 50% of rectangle

tennis1ball · Answer

E.


it may not be a rectangle. it could be any quadrilateral. 

if it were a rectangle, you wouldn't need either of the condition and you know it is 1/2.

lfox2 · Answer

Yes, we don't know what the shape of the object truly is, since the question does not state this.

E for me.

Data Sufficiency: What percentage of the area in the figure

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