((Please help asap! Giving brainliest)) Find the area of the following shape. You must show all work to receive credit. (10 points)
Figure ABCDEF is shown. A is located at negative 2, 6. B is located at negative 5, 2. C is located at negative 2, negative 3. D

57 units²

Step-by-step explanation:

you can solve this by splitting this complex shape into 4 triangles and 1 square (see attached). By using the axes, you will be able to find the base lengths and heights of each shape.

With this, we can find the areas of each shape and then add them to get the total area of the composite shape

Area Triangle 1 = (1/2) x 3 x 4 = 6 units²

Area Triangle 2 = (1/2) x 3 x 3 = 4.5 units²

Area Triangle 3 = (1/2) x 3 x 5 = 7.5 units ²

Area Triangle 4 = (1/2) x 1 x 6 = 3 units ²

Area square = 6 x 6 = 36 units²

Area of composite figure

= sum of areas of each individual shape

= 6 + 4.5 + 7.5 + 3 + 36

= 57 units²

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: