Question

Hello. I think I have this answer correct would you mind walking me through it and checking with me?

Answer 1

The first option is the correct answer.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Given;

We are given a plane shape as indicated in the picture attached.

The side lengths are also indicated as shown.

Required;

We are required to calculate the area of the figure.

Step-by-step solution;

To determine the area of this figure, the first step would be to decompose it into smaller squares and rectangles.

This is shown in the image attached below;

We can now calculate the areas of each component figure as follows;

`\begin{gathered} Figure\text{ }A: \\ Area=l* w \\ Area=8*4 \\ Area=32\text{ }units^2 \end{gathered}`
`\begin{gathered} Figure\text{ }B: \\ Area=12*4 \\ Area=48\text{ }units^2 \end{gathered}`
`\begin{gathered} Figure\text{ }C: \\ Area=6*2 \\ Area=12\text{ }units^2 \end{gathered}`
`\begin{gathered} Figure\text{ }D: \\ Area=12*2 \\ Area=24\text{ }units^2 \end{gathered}`

Therefore, we add up the entire areas and we'll have;

`Area=A+B+C+D`
`Area=32+48+12+24`
`Area=116\text{ }units^2`

We now have,

ANSWER:

`Area=116\text{ }units^2`

The first option is the correct answer.