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Find the area of the following shape. You must show all work to receive credit.
ТУ
5
3
-3
0
2
-1-
-2
-3
4
-5

Find The Area Of The Following Shape You Must Show All Work To Receive Credit ТУ 5 3 3 0 2 1 2 3 4 5 class=

Sagot :

Answer:

8 unit ^2   or 8cm^2

Step-by-step explanation:

area 1

1/2 ( 3 x 3 ) = 4.5 unit ^2

area 2 we split the triangle into half

= 1/2 ( 2 x 2) = 2 unit ^2

we know the other half is also  2 unit ^2 but we add then subtract

1/2 (1 x 1) = 0.5^2

To get

4.5 + 2+ 2 - ( 0.5)  = 8 unit ^2

The area of the given shape to the nearest whole number is 8 square units.

How to calculate the area of composite shapes?

The given figure lies on the xy plane and consists of triangles and trapezoid

Using a square box as 1 unit, the area of the figure is given as:

Area of the figure = 0.5(2 *1) + 0.5(3  * 3) + 0.5(2+3) * 1

Area of the figure. = 1 + 4.5 + 2.5

Area of the figure= 8 square units

Hence the area of the given shape to the nearest whole number is 8 square units.

Learn more on area of composite shapes here: https://brainly.com/question/21135654