Question

What is the area of the Parallelogram? How can you decompose this parallelogram into 2 triangles? If this parallelogram was decomposed into two triangles what would be the area of each triangle?

Answer 1

For this problem, we are given a parallelogram and its measurements. we need to determine the area for the parallelogram.

The area of a parallelogram is given by:

`A=\text{ base }\cdot\text{ height}`

The area for this parallelogram is:

`A=8\cdot(3)/(4)=6\text{ square feet}`

The area of the parallelogram is equal to 6 square feet.

Now we need to divide the parallelogram into two triangles and determine their areas.

In order to divide the parallelogram into two parts, we need to draw the diagonal of the parallelogram, this will create two equal triangles, one with vertices ADC and the other with vertices ABC. We also need to determine the area of these triangles, since the diagonal divides the parallelogram in half, the area of each triangle is equal to half the area of the parallelogram. The area of each triangle would be 3 square feet.