Question

Someone please help asap! I will mark as brainliest, thank you!!

Answer 1

Answer:

19 square units

Step-by-step explanation:

Hello!

Step 1: Plot the points

We are first going to plot the points on the coordinate graph and connect the points to create a shape.

Refer to attachment titled "Step 1"

Step 2: Box the shape

Since this is an irregular shape, I'm going to make a box around the shape and subtract the area of the empty spaces to find the area of the original polygon.

Refer to attachment titled "Step 2"

Step 3: Area of Edges

We are going to find the area of the shapes A, B, and C and subtract them from the area of the big box to find the area of the polygon.

Area of a triangle = 1/2(base x height)

• Area of Box = 6 un x 7 un
• Area of Box = 42 un²

Area of A:

• Area A = 1/2(4 un x 2 un)
• Area A = 1/2(8 un²)
• Area A = 4 un²

Area of B:

• Area B = 4 un x 4 un
• Area B = 16 un²

Area of C:

• Area C = 1/2(2 un x 3 un)
• Area C = 1/2(6 un²)
• Area C = 3 un²

Step 4: Area of the polygon

Now, we can simply subtract the values of A, B, and C from the box to get the area of the polygon.

• Area Polygon = Box - A - B - C
• Area Polygon = 42 un² - 4 un² - 16 un² - 3 un²
• Area Polygon = 38 un² - 16 un² - 3 un²
• Area Polygon = 22 un² - 3 un²
• Area Polygon = 19 un²

The area of the polygon is 19 un²

-Chetan K