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In the figure above, square PQRS is divided into four smaller squares. [#permalink]

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19 Sep 2017, 23:48

In the figure, square PQRS is divided into four smaller squares. => Considering all the 4 smaller squares are equal in size.

If the area of the shaded region is 3, what is the area of PQRS?

= > In figure, 2 sides of shaded region : PR is diagonal and other end is center of 2 sides. If we check shaded region consist of 3 triangles. And Square can be divided into kind of 8 triangles out of which shaded region is 3 triangles.

So if area of square is 8x than of shaded region is 3x.

Given Area of shaded reason is 3 => Area of square = 8

Area of the shaded region is 3 The shaded region consists of 3 triangles Hence area of each triangle is 1, since all triangles are similar. Now, considering the entire square, it consists of 8 such triangles, hence area of square PQRS = 8 Answer A.

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