Question

If the square represents 1 unit what is the fraction of the shaded area

Answer 1

Let us call the side length of the square a, then the area of one white triangle is

`(1)/(2)(0.5a* a)=(1)/(4)a^2`

There are two of these white triangles, and therefore, the area encompassed by them is

`2*((1)/(4)a^2)=(1)/(2)a^2`

The area A of the yellow region is equal to the area of the square minus the area of the white triangles.

The area of the square is a^2; therefore,

`A=a^2-(1)/(2)a^2=(1)/(2)a^2`

Meaning, the area of the yellow region is 1/2 the area of the square.