The area of a rectangular lawn is the same as the area of an 18 m long square. If the length of the rectangular lawn is 27 m, find its perimeter.
Answers
Answer:
Easy
Area of Rectangle:- Lenght X Breadth
Step-by-step explanation:
=18X27
=486
Perimeter of Rectangle 2XL+B
=18+27=45
2X45=90
perimeter is 90
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Answer :-
\textsf{The Perimeter of Rectangle is 78 m }The Perimeter of Rectangle is 78 m
\textbf{\underline{\underline{Explanation :-}}}
Explanation :-
\textsf{\underline{\underline{Given :}}}
Given :
Area of the Rectangle = Area of the Square
Length of the Rectangle = 27 m
Side of the square = 18 m
\textsf{\underline{\underline{To find :}}}
To find :
The Perimeter of Rectangle
\textsf{\underline{\underline{Solution :}}}
Solution :
Area of the Square = Area of Rectangle
Area of Square =
\tt{\implies \: side \times side}⟹side×side
\tt{\implies18 \times 18}⟹18×18
\tt{\implies824}⟹824
\large{\boxed{\bigstar{\sf \: { Area \: of \:Square = 324 \: {m}^{2} }}}}
★AreaofSquare=324m
2
To get the Perimeter,we need to find the Breadth.
Area of Rectangle =
\tt{\implies \: length \times breadth = 324}⟹length×breadth=324
\tt{\implies27 \times b = 324}⟹27×b=324
\tt{\implies \: b = \dfrac{324}{27} }⟹b=
27
324
\tt{\implies \: b = 27}⟹b=27
\large{\boxed{\bigstar{\sf \: { Breadth = 12 \: m}}}}
★Breadth=12m
Perimeter of Rectangle =
\tt{\implies2(l + b)}⟹2(l+b)
\tt{\implies2(27 + 12)}⟹2(27+12)
\tt{\implies54 + 24}⟹54+24
\tt{\implies78}⟹78
\large{\boxed{\bigstar{\sf \: {Perimeter = 78 \: m }}}}
★Perimeter=78m
\therefore∴ \textsf{The Perimeter of Rectangle is 78 m }The Perimeter of Rectangle is 78 m