Question

*PLEASE ANSWER ASAP* What is the area of this polygon on a coordinate plane?

Answer 1

Answer:

A, 14 square units

Step-by-step explanation:

What I would do is separate them into 4 shapes like the picture below

Because all of the shapes are rectangles, you can use the formula

$A=L*W$

For shape #1, the length is 1 and the width is 3. Plot the numbers

$A=1*3$

Multiply 1 by 3 to get

$A=3$

The area of shape #1 is 3

The length and width of shape #2 and 3 are the same as 1, so you can multiply the area of shape #1 by 3 to get

$3*3$

$9$

The area of shape #1, 2, and 3 are 9.

Next, you want to find the area of shape #4 which has a length of 5 and a width of 1.

Use the same formula to get

$A=5*1$

Multiply 5 by 1 to get

$A=5$

The area of shape #4 is 5

The way to find the surface area of the whole figure is to add the area of all the shapes individually, or do what I did and add 5, to 9

$A=5+9$

This gives you your answer which is

$A=14$

Hope this helps.

Feel free to ask any more questions if you are confused.

Have a great day! :)

Answer 2

Answer:

A. 14 square units

Step-by-step explanation:

Hey there :)

Well let's find the area of each individual rectangles.

Let's start with the side rectangle.

It has dimensions of 5*1 = 5.

5 square units

Now the 3 rectangles left have dimensions of 3*1=3,

3*3 = 9.

5+9=14

14 square units