Question

What fraction of the square is shaded.

Answer 1

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$<big>ANSWER :-</big>$

1/4 th of the square is shaded .

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Answer 2

Concept:

A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It may alternatively be explained as a rectangle with two neighboring sides that are of equal length. The two finite diagonals of a square are equal and have four axes of symmetry, much like those of any rectangle. A square is divided into two right triangles by a diagonal.

Given:

Here a square is given with some shaded region.

Find:

We have to find what fraction of the square is shaded.

Solution:

According to the question,

If we consider the upper triangle then the two triangles are similar then the upper triangle are scaled by $50$‰.

The square is side is equals to $3h$.

So, the lower triangle area $[(3h)(2h)]/2=3h^2$

Now the area of the square is $(3h)^2=9h^2$.

So, the triangle area is fraction of the area $=\frac{3h^2}{9h^2} =\frac{1}{3}$.

Hence, the fraction is $\frac{1}{3}$.

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