Question

find the Area of given figure.. ​

Answer 1

$\large\underline{\underline{\maltese{\red{\pmb{\sf{\: Given :-}}}}}}$

• ➻ Figure in the attachment.

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$\large\underline{\underline{\maltese{\gray{\pmb{\sf{\: To \: Find :-}}}}}}$

• ➻ Area of the figure = ?

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$\large\underline{\underline{\maltese{\purple{\pmb{\sf{\: Solution :-}}}}}}$

❒ Formula Used :

$\large\blue{\bigstar}{\underline{\boxed{\red{\sf{Area{\small_{(Rectangle)}} = Length \times Breadth}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

❒ How to Solve :

As per the above attachment we can divide the figure into 3 rectangles. We will find the area of rectangles one by one and than add it. We will get our answer. Let's Solve :

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

❒ Area of Rectangle 1 :

${:\longmapsto{\sf{Area = Length \times Breadth}}}$

${:\longmapsto{\sf{ \: \: \: \: \: \: \: \: \: \: 6 \times 2}}}$

${\orange{:\longmapsto{\underline{\sf{12 \: Units}}}}}$

❒ Area of Rectangle 2 :

${:\longmapsto{\sf{Area = Length \times Breadth}}}$

${:\longmapsto{\sf{ \: \: \: \: \: \: \: \: \: \: 10 \times 2}}}$

${\orange{:\longmapsto{\underline{\sf{20 \: Units}}}}}$

❒ Area of Rectangle 3 :

${:\longmapsto{\sf{Area = Length \times Breadth}}}$

${:\longmapsto{\sf{ \: \: \: \: \: \: \: \: \: \: 15 \times 3}}}$

${\orange{:\longmapsto{\underline{\sf{45 \: Units}}}}}$

❒ Area of figure :

${:\longmapsto{\sf{ Rectangle{\small_{1}} + Rectangle{\small_{2}} + Rectangle{\small_{3}} = Area{\small_{(Figure) }}}}}$

${:\longmapsto{\sf{ \: \: \: 12 + 20 + 45}}}$

$\large{\red{:\longmapsto{\green{\underline{\overline{\boxed{\sf{77 \: Units}}}}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

❒ Therefore :

❝ Area of the given figure is 77 Units .❞

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❒ Additional Info :

Formulas for Area :

$\begin{gathered}\red{\large \qquad \boxed{\boxed{\begin{array}{cc} \ ◐ \: \: \bf Rectangle = Length \times Breadth \\ \\ \ ◐ \: \: \bf Square = Side² \\ \\ \ ◐ \: \: \bf Triangle = \sqrt{s(s - a) (s - b) ( s - c) }\end{array}}}}\end{gathered}$