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

Find the area of the given figure which have all the squares corners.​-example-1
User Bokkie
by
8.3k points

2 Answers

5 votes

Answer:

area of the given figure: 58 m²

Step-by-step explanation:

area of rectangle: length * width

total area:

( 2 * 5 + 12 * 4 )

58 m²

User Alexander Keth
by
8.4k points
5 votes

Answer:

The area of the given figure is 58 m².

Step-by-step explanation:

Dividing the given figure into two parts :

  • ➛ Big rectangle
  • ➛ Small rectangle

———————————————————————

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.

———————————————————————

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.

———————————————————————

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}

Find the area of the given figure which have all the squares corners.​-example-1
User Alchemist
by
8.5k points

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