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tamaranim1 [39]
2 years ago
11

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

Mathematics
2 answers:
elena55 [62]2 years ago
8 0

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 \times b}}}

  • ➣ l = 12 m
  • ➣ b = 4 m

\begin{gathered} \qquad\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} = 12\times 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 \times b}}}

  • ➠ l = 5 m
  • ➠ b = 2 m

\begin{gathered} \qquad\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} = 5\times 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}

Basile [38]2 years ago
4 0

Answer:

area of the given figure: 58 m²

Explanation:

area of rectangle: length * width

<u>total area: </u>

( 2 * 5 + 12 * 4 )

58 m²

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