Question

The area of a parallelogram is 64 m2. If a diagonal divides the parallelogram into 2 triangles, what is the area of 1 of the triangles?

a. 4 m2
b. 128 m2
c. 32 m2
d. 8 m2

Answer 1

`32\:\mathrm{m^2}`

Explanation:

When cut by a diagonal, the parallelogram will be divided into two congruent triangles. By definition, congruent polygons have equal areas. Therefore, let the area of each of the triangle be
`x`:

`x+x=64,\\2x=64,\\x=(64)/(2)=\boxed{32\:\mathrm{m^2}}`