Question

Find the area of the given figure which have all the squares corners.​

Answer 1

area of the given figure: 58 m²

Step-by-step explanation:

area of rectangle: length * width

total area:

( 2 * 5 + 12 * 4 )

58 m²

Answer 2

The area of the given figure is 58 m².

Step-by-step explanation:

Dividing the given figure into two parts :

• ➛ Big rectangle
• ➛ Small rectangle

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Firstly, finding the area of bigger rectangle by substituting the values in the formula :

`\longrightarrow{\pmb{\sf{A_((Rectangle)) = l * b}}}`

• ➣ l = 12 m
• ➣ b = 4 m

`\begin{gathered} \qquad\longrightarrow{\sf{A_((Rectangle)) = l * b}}\\\\\qquad{\longrightarrow{\sf{A_((Rectangle)) = 12* 4}}}\\\\\qquad{\longrightarrow{\sf{A_((Rectangle)) =48}}}\\\\\qquad{\star{\underline{\boxed{\sf{\pink{A_((Rectangle)) =48 \: {m}^(2)}}}}}} \end{gathered}`

Hence, the area of bigger rectangle is 48 m².

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Secondly, finding the area of smaller rectangle by substituting the values in formula :

`\longrightarrow{\pmb{\sf{A_((Rectangle)) = l * b}}}`

• ➠ l = 5 m
• ➠ b = 2 m

`\begin{gathered} \qquad\longrightarrow{\sf{A_((Rectangle)) = l * b}}\\\\\qquad{\longrightarrow{\sf{A_((Rectangle)) = 5* 2}}}\\\\\qquad{\longrightarrow{\sf{A_((Rectangle)) =10}}}\\\\\qquad{\star{\underline{\boxed{\sf{\purple{A_((Rectangle)) =10 \: {m}^(2)}}}}}} \end{gathered}`

Hence, the area of smaller rectangle is 10 m².

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Now, finding the total area of given figure by substituting the values in the formula :

`\longrightarrow{\pmb{\sf{Total \: Area = A_((Big)) + A_((Small))}}}`

• →
  `\rm{A_((Big))}` = Area of big rectangle
• →
  `\rm{A_((Small))}` = Area of small rectangle

`\begin{gathered} \qquad{\longrightarrow{\sf{Total \: Area = A_((Big)) + A_((Small))}}} \\ \\ \quad{\longrightarrow{\sf{Total \: Area = 48 + 10}}} \\ \\ \quad{\longrightarrow{\sf{Total \: Area = 58}}} \\ \\ \quad{\star{\underline{\boxed{\sf{\red{Total \: Area =58\: {m}^(2)}}}}}} \end{gathered}`

Hence, the total area of the given figure is 58 m².

`\rule{300}{2.5}`