Question

If the area of the parallelogram is 15 cm 2, what is the area of the green triangle?

Answer 1

`A_2 = 7.5cm^2`

Explanation:

The attachment completes the question

Given

`Area = 15cm^2`

Required

Area of green triangle

`The\ area\ of\ a\ parallelogram\` is calculated as

`A_1 = b * h`

and

`A_1 = 15cm^2`

Where:

`b=base`

`h = height`

Because the triangle shares exact base and height with the parallelogram, the area of a triangle is calculated as

`A_2 = (1)/(2) * b * h`

Recall that:

`A_1 = b * h`

So, we have:

`A_2 = (1)/(2) *A_1`

Substitute
`15cm^2` for
`A_1`

`A_2 = (1)/(2) * 15cm^2`

`A_2 = ( 15cm^2)/(2)`

`A_2 = 7.5cm^2`

The area of the triangle is 7.5cm^2