Answer:
275 units
Step-by-step explanation:
Hi, I can help.
First you want to find the area of the outside portions which are triangles.
Lets go over the formula to find the area of a triangle.
A = b x h x 1/2
or in full terms
Area = base x height x 1/2
So lets take the base and height we are given.
Base = 9
Height = 11
And lets plug it into the formula.
Area = 9 x 11 x 1/2
And solve a bit :
9 x 11
=
99
Now we can take 99 and multiply it by 1/2. (Which is really the same as dividing by 2. It is splitting a number in half.
99 x 1/2
=
49.5
This is the area of one triangle. And since we have 2 what we have to do actually multiply this by 2.
So:
49.5 x 2
=
99
The area of these 2 is 99 units.
Lets keep this in mind but also solve the rectangle in the middle of the two triangles.
This is easier as the formula is :
A = b x h
in full terms
A = base x height
So lets plug in the base which is 16 and the height which is 11 :
A = 16 x 11
And solve :
16 x 11
=
176
And now we add the two triangles (99) and then the area of the rectangle (176) to find the total area of the triangle.
99 + 176
=
275 units
I hope this helps!
If you have any questions about anything I did or are confused do feel free to comment or message me :)
