Question

What is the area of the composite figure? units2

Answer 1

Answer:

34 units2

Step-by-step explanation:

Let's remember that the formula to calculate the area of a trapezoid is  

$A = \frac{h*(b+B)}{2}$

Where h = height of the trapezoid, b = length of the minor base and B = length of the greater base.

In this case, we have trapezoid with a rectangle inside that is missing.  

We calculate the area of the rectangle by multiplying the base by the height.

The base of the rectangle is 3 units and the height is 2 units. Therefore, the area of the rectangle is 3 units*2 units = 6 units2.

Now we calculate the area of the entire trapezoid and then we subtract the area of the rectangle.

The values of h, b and B are  

h = 5 units

b = 6 units

B = 10 units

We replace this values in the formula of the area and we get

A = 5 units*(6 units + 10 units)/2

A = 5 units*16 units/2

A = 80 units2 /2

A = 40 units2

Finally, the area of the composite figure is 40 units2 - 6 units2 = 34 units2

Answer 2

the figure is a trapezoid, the area is calculated base minor plus base greater divided two, then you have to remove the area of ​​the rectangle that is found base for height

[(10 + 6) * 5 : 2] - (3 * 2) =

(16 * 5 : 2) - 6 =
40 - 6 =
34 units²