Question

This figure is made up of a rectangle and parallelogram.

Answer 1

First, let's divide the figure in two parts, called "A" and "B (View the figure attached):

 a: The paralelogram
 b: The rectangle

 To find the area of the parallelogram, we must apply the following formula:

 A=bxh

 b: is the base of the parallelogram.
 h: the height of the parallogram.

 We can know the length of the base and the heigh by the figure shown in the problem:

 b=4
 h=3

Then, we have:

 A(a)=bxh
 A(a)=4x3
 A(a)=12

 Now, we must proceed to find the area of the rectangle, by using the formula:

 A(b)=bxh

 b=9 (the base of the rectangle)
 h=3 (the height of the rectangle)

 A(b)=9x3
 A(b)=27
 
 Then, the area of the figure is:

 At=A(a)+A(b)
 At=12+27
 At=39