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

1 answer

###### Question:

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

## Answers

Answer:[tex]A_2 = 7.5cm^2[/tex]Step-by-step explanation:The attachment completes the questionGiven[tex]Area = 15cm^2[/tex]RequiredArea 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

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