Question

This figure is made up of a rectangle and parallelogram.

What is the area of this figure?

Answer 1

Look at the picture.

We have a parallelogram and two congruent triangles.

The formula of an area of a parallelogram:

`A_P=bh`

We have b = 5 and h = 2. Substitute:

`A_P=(5)(2)=10`

The formula of an area of a triangle:

`A_T=(bh)/(2)`

We have b = 10 and h = 4. Substitute:

`A_T=((10)(4))/(2)=(40)/(2)=20`

Area of this figure:

`A=A_P+2A_T\\\\A=10+(2)(20)=10+40=50`