Question

What are the answers to did I the area of this figure shown? I’m having a bit of trouble with it.

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Draw the given figure

STEP 2: Write the formula for the area of the figure

`Area_(figure)=Area\text{ of A + Area of B}`

STEP 3: Find the area of A

`\begin{gathered} length\text{ of Reactangle A}=2in \\ width\text{ of Rectangle B}=6in \\ Area\text{ of A}=length* width \\ Area\text{ of A}=2in*6in=12in^2 \end{gathered}`

STEP 4: Find the Area of B

`\begin{gathered} length\text{ of Rectangle B}=(6-2)in=4in \\ width\text{ of Rectangle B}=2in \\ Area\text{ of Rectangle B}=4in*2in=8in^2 \end{gathered}`

STEP 5: find the area of the figure

`\begin{gathered} According\text{ to formula in step 2,} \\ Area_(figure)=12in^2+8in^2=20in^2 \end{gathered}`

Hence, the area of the given figure is 20in²