Answer:
[tex]A_2 = 7.5cm^2[/tex]
Step-by-step explanation:
The attachment completes the question
Given
[tex]Area = 15cm^2[/tex]
Required
Area of green triangle
[tex]The\ area\ of\ a\ parallelogram\[/tex] is calculated as
[tex]A_1 = b * h[/tex]
and
[tex]A_1 = 15cm^2[/tex]
Where:
[tex]b=base[/tex]
[tex]h = height[/tex]
Because the triangle shares exact base and height with the parallelogram, the area of a triangle is calculated as
[tex]A_2 = \frac{1}{2} * b * h[/tex]
Recall that:
[tex]A_1 = b * h[/tex]
So, we have:
[tex]A_2 = \frac{1}{2} *A_1[/tex]
Substitute [tex]15cm^2[/tex] for [tex]A_1[/tex]
[tex]A_2 = \frac{1}{2} * 15cm^2[/tex]
[tex]A_2 = \frac{ 15cm^2}{2}[/tex]
[tex]A_2 = 7.5cm^2[/tex]
The area of the triangle is 7.5cm^2
