Question

a square with an area of 1 square meter is decomposed into 9 identical small squares. Each small square is decomposed into two identical triangles. what is the area in square meters of 6 triangles

Answer 1

Area of one big square = 1 square meter

Now the bigger square is divided into 9 smaller square

Area of 9 small squares = Area of 1 big square= 1 square meter

So applying unitary method we can find are of 1 small square.

Area of 1 small square = 1/9 square meter

Now each small square is divided into two identical triangles.

So ,

Area of 1 triangle = 1/2 of area of 1 small square =(1/2) (1/9) = 1/18 square meter

Again applying unitary method to find area of 6 triangles,

Area of 6 triangles = 6 * area of 1 triangle = 6 * (1/18) = 1/3 square meter

Answer : Area of 6 triangles is 1/3 square meters.