Question

the area of a rectangular lawn is the same as the area of an 18m long square if the length of the rectangular lawn is 27 M find its perimeter

Answer 1

$\textbf{\large{\underline{Answer :-}}}$

$\textsf{The Perimeter of Rectangle is 78m}$

$\textbf{\large{\underline{Explanation :-}}}$

$\textsf{\underline{\underline{Given :}}}$

Area of Rectangle = Area of the Square

Side of the Square = 18m

Length of the Rectangle = 27m

$\textsf{\underline{\underline{To find :}}}$

The Perimeter of Rectangle

$\textsf{\underline{\underline{Solution : }}}$

As the area of the Rectangle is same as the area of the Square.

Area of the square =

$\tt{\implies \: side \times side}$

$\tt{\implies18 \times 18}$

$\tt{\implies324 }$

$\large{\boxed{\bigstar{\sf \: {Area = 324 \: {m}^{2} }}}}$

Area of Rectangle = 324m²

Breadth of the Rectangle =

Area of Rectangle

$\tt{\implies \: length \times breadth = 324}$

$\tt{\implies27 \times b = 324}$

$\tt{\implies \: b = \dfrac{324}{27} }$

$\tt{\implies \: b = 12}$

$\large{\boxed{\bigstar{\sf \: {Breadth = 12m }}}}$

Perimeter of Rectangle =

$\tt{\implies2(l + b)}$

$\tt{\implies2(27 + 12)}$

$\tt{\implies54 + 24}$

$\tt{\implies78}$

$\large{\boxed{\bigstar{\sf \: {Perimeter = 78m }}}}$

$\therefore$ $\textsf{The Perimeter of Rectangle is 78m}$