Question

3 yd 9 yd 6 yd 14 yd 5 yd 9 yd N 5) What is the area of the figure? A) 18 yd2 B) 54 yd2 C) 72 yd2 D) 90 yd2

Answer 1

To figure out the area of the figure, we will divide the shape into two parts as in the image below

Step 1:

The formula to calculate the area of Part A is

`\begin{gathered} Area_A=l* b \\ l=9yd,b=3yd \end{gathered}`

By susbstituting the values, we will have

`\begin{gathered} Area_A=l* b \\ Area_A=9yd*3yd \\ Area_A=27yd^2 \end{gathered}`

Step 2:

Calculate the area of part B

`\begin{gathered} Area_B=l* b \\ l=9yd,b=5yd \\ \end{gathered}`

By substituting the values, we will have

`\begin{gathered} Area_B=l* b \\ Area_B=9yd*5yd \\ Area_B=45yd^2 \end{gathered}`

Hence,

The area of the figure will be

`\begin{gathered} A_(figure)=Area_A+Area_B \\ A_(figure)=27yd^2+45yd^2 \\ A_(figure)=72yd^2 \end{gathered}`

Hence,

The final answer is

`\Rightarrow72yd^2`

OPTION C is the right answer