Answer:
137.5 cm²
Step-by-step explanation:
The formula used to find the area of a parallelogram is:
A = b · h
In this case, the dotted line labeled 9 cm would be our height (h) and the line at the bottom labeled 11 cm would be our base (b). Therefore, we can find the area of the parallelogram part with the following:
A = b · h
A = (11) · (9)
A = 99 cm²
To formula used to find the area of a right triangle is:
A = (b · h) ÷ 2
It's important to remember that the hypotenuse will not be used in this formula! (The hypotenuse is the longest side on a right triangle and will not connect to the right angle.)
In this figure, our base is not labeled. However our base is marked as being congruent to the line we used as our base when finding the area for the parallelogram. This means that our base is going to be the same length as the other base (11 cm). Our height is 7 cm. Therefore, we can find the area of the triangle part with the following:
A = (b · h) ÷ 2
A = (11 · 7) ÷ 2
A = (77) ÷ 2
A = 38.5 cm²
All that's left to do is to add the areas of our two pieces together to give us:
99 cm² + 38.5 cm² = 137.5 cm²
~ Hope this helps! ~
