Answer:
Step-by-step explanation:
The irregular shape's area consists of the sum of the areas of all the shapes that make it up.
Area of pink triangle: 
Area of purple square: 
Area of green quadrilateral: 
Area of blue triangle: 
Therefore, the area of the irregular polygon is 
.
The perimeter of the irregular polygon consists of certain shred sides from the four polygons that make up:
Answer:
12
Step-by-step explanation:
A midpoint of a line means that each segment connecting from the midpoint to an end is equal. For this problem, this means that AB = BC, as B is the midpoint, and A and B are the ends. Therefore, we can say that:
AB = BC
2x + 6 = 5x - 3
add 3 to both sides
2x + 9 = 5x
subtract 2x from both sides
9 = 3x
divide both sides by 3
3 = x
Plugging 3=x into AB, this means that 2(3) + 6 = AB = 12
<span>(2x + 1)(x + 3) = 2x^2 + 6x + x + 3 = 2x^2 + 7x + 3 A.</span>
