Question

Triangles XYZ and PQR are drawn on a square grid. What fraction of the area of triangle XYZ is the area of trianglePQR?

Answer 1

The area of a triangle is given by
`(1)/(2) bh`.

From the given figure: The base of the bigger triangle is 6 units and the height is 3 units.
The base of the smaller triangle is 3 units and the height is 2 units.

The area of the big triangle is
`(1)/(2) *6*3=9\, square\, units`
The area of the small triangle is
`(1)/(2) *3*2=3\, square\, units`

The required fraction is
`(3)/(9) = (1)/(3)`