Question

What is the area of the figure made up of a parallelogram and a right triangle?
assessment graphic


____ cm2

Answer 1

Let's do the Parallelogram first. :)
In order to find the area of a parallelogram we have to multiply the base by the height.

Answer 2

So the base is 14 and the height is 8

Answer 3

So what is 14 x 8?

Answer 4

112 :3

Answer 5

Good so now we set that aside.

Answer 6

\(\bf \textit{area of a parellelogram}=base\cdot altitude
\\ \quad \\
\textit{area of a triangle}=\cfrac{1}{2}base\cdot height\)
get the area of each, SUM THEM UP to get the area of the figure

Answer 7

Now the Triangle. The formula for the area of a triangle is base x height x 0.5 or 1/2

Answer 8

okay! 6 multiplies by 12.6 multiplied by 1/2?

Answer 9

So the base is 6 because 20 - 14 = 6

Answer 10

And the height is 12.6

Answer 11

ANd yes, you are correct.

Answer 12

\[6 \times 12.6 \times \frac{ 1 }{ 2 }\]= 37.8

Answer 13

Then, do we add the two numbers together? By numbers, i mean 112 and 37.8? :3

Answer 14

So now the question is asking what is the Area for the whole thing so we add them both up. :)
37.8 + 112 = Your answer. :)

Answer 15

Yessss!!! :D

Answer 16

you see, if you grab the triangle and flip it upside down, then you can see the height and base

Answer 17

cool!

Answer 18

So do you have your answer now? :)

Answer 19

\[37.8 + 112 = 149.8\]

Answer 20

Right! :)

Answer 21

Thank you!

Answer 22

Welcome! :)