Question

This figure is made up of a rectangle and parallelogram.

What is the area of this figure?



Enter your answer in the box. Do not round any side lengths

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