Question

Use familiar figures to find the area of the figure shown. Show all work

Answer 1

So, are of a trapezoid is add the bases, divide the hieght by two, and multiply them together. 
the bases were 3 and 5, so add them together, you get 8. 
the height was 2, so divide 2 by 2, you get 1
Multiply them, you get 8
8 is the area of your trapezoid. 

The area of a rectangle or a square is to multiply the base times the height. 
the base was 3 and the height was 10, so multiply and you get 30.
30 is the area of your rectangle.

The area of a triangle is to multiply the base by times the height and then divide by 2.
3 is the base, height is 4, multiply and you get 12.
divide 12 by 2, and you get 6.
6 is the area of the triangle.

To find the area of the entire shape, you add all the areas together.

8 is the area of the trapezoid.
30 is the area of the rectangle.
6 is the area of the triangle.
30+8+6=44

Your area is 44in^2

Answer 2

Area of the triangle- 
(4*3)/2= 6

Area of the rectangle-
10*3= 30

Area of the trapizoid
(3+5)/2*2= 8

add them all together: 
30+8+6= 44

your answer is 44 inches (: