What is the area of the figure?

- anonymous

What is the area of the figure?

- Stacey Warren - Expert brainly.com

Hey! We 've verified this expert answer for you, click below to unlock the details :)

- jamiebookeater

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

- anonymous

##### 1 Attachment

- anonymous

@Nnesha

- mathstudent55

You have two polygons in the figure.
Do you know what are the names of the two polygons?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- mathstudent55

|dw:1441047382462:dw|

- mathstudent55

What type of polygon is polygon B?
Hint: It has three sides.

- anonymous

polygon B looks like a triangle almost

- trwatkins1

btw the formulla is lenth x whith x hieght my grammer is bad

- anonymous

lol its fine @trwatkins1

- mathstudent55

Exactly.
Polygon B is a triangle. To find its area we will use the formula for the area of a triangle.

- mathstudent55

Now we need to find out about polygon A.
You can see it has 4 sides. Each set of two opposite sides has the same length.
Do you know what polygon A is?

- anonymous

it seems to look like a slanted rhombus

- mathstudent55

|dw:1441047696617:dw|

- trwatkins1

bella the answer to a?

- anonymous

you mean for the options ? there aren't any , this is o ne of the questions where you don't lol

- mathstudent55

It is close to a rhombus in certain way, but a rhombus has all sides of equal length.
Polygon A is a parallelogram.

- mathstudent55

Now we need to find the formulas for the area of a parallelogram and the area of a triangle.

- anonymous

ok . lets take shot :)

- mathstudent55

\(\large A_{parallelogram} = bh\)
\(\large A_{triangle} = \dfrac{bh}{2} \)

- mathstudent55

The area of a parallelogram is the base times the height.
The base can be any side of the parallelogram. Once you choose a side as the base, then the height is a segment that goes from that base to the opposite side and is perpendicular to both sides.

- mathstudent55

|dw:1441047975610:dw|

- mathstudent55

In your figure, we see that we can choose the side of 24-yd length to be the base. Then the height is the 12-yd dashed segment. Since we have a base and a height, we can find the area of the parallelogram.

- anonymous

so 12 * 24 which equals 288 , correct?

- mathstudent55

Yes, for the parallelogram.
Now we look at the triangle below.

- anonymous

ok I was thinking to do 15 * 8.4 which equals 126 , do we do that or what other should we do

- mathstudent55

We need a base and a height for the formula.
Any side of a triangle can be a base. Then the height is the length of a segment that is perpendicular to the base and ends in the opposite vertex.

- mathstudent55

|dw:1441048377489:dw|

- anonymous

ok I got the answer already!

- mathstudent55

Now that we see we can use the side of length 24 yd to be that base and the 8.4-yd side as the height, we use the formula for the area of a triangle.
\(\large A = \dfrac{bh}{2} \)
We multiply together the base and the height and we divide by 2.

- trwatkins1

bella whats the answer?

- anonymous

I got 561.6 for the answer

- mathstudent55

15 yd is not a dimension of the triangle. It is the side of the parallelogram.

- trwatkins1

math is that correct because thats what i got too

- mathstudent55

Total area = area of parallelogram + area of triangle =
\(bh + \dfrac{bh}{2} = 24 \times 12 + \dfrac{24 \times 8.4}{2} \)
\(= 288 + 100.8 = 388.8 ~yd^2\)

- trwatkins1

oh i did that wrong

- trwatkins1

*facepalm

- mathstudent55

The final answer is that the area of the figure is 388.8 square yards.

- anonymous

ooooh i did too , ok thanks !

- mathstudent55

@Bella111
Be careful with the area of the triangle.
Use base 24 yd and height 8.4 yd.
Multiply the base by the height and divide by 2.
Area of triangle = (24 yd * 8.4 yd)/2 = 100.8 yd^2

- mathstudent55

Then when you add the area of the triangle, 100.8, to the area of the parallelogram, 288, you get the total area of 388.8 sq yd.

- anonymous

ok! thanks so much

Looking for something else?

Not the answer you are looking for? Search for more explanations.