Question

side of a square is 60m, length of the rectangle is 90m. both the square and rectangle's area are same. find the breadth of the rectangle​

Answer 1

Side of the square= 60m
Area of the square=60mx60m
=3600m
Area of rectangle=Area of square
Length of rectangle=90m
Breadth of rectangle=l x b
=90 x b =3600m
=b = 3600/90
=b = 40m

Answer 2

$\LARGE\textbf{\underline{\underline{Given :-}}}$

$\large\texttt{↦ The side of the square = 60 m .}\\\\\large\texttt{↦ The length of the rectangle = 90 m .}$

$\LARGE\textbf{\underline{\underline{To find :-}}}$

$\large\texttt{↦ The breadth of the rectangle = ?}$

$\LARGE\textbf{\underline{\underline{Formula :-}}}$

$\large : \: \Longrightarrow\underline{\boxed{\textsf\textcolor{green}{ Area _ { ( \: Square \: ) } = Side ^ { 2} }}}\\\\\\\large : \: \Longrightarrow\underline{\boxed{\textsf\textcolor{green}{ Area _ { ( \: Rectangle \: ) } = l × b }}}$

$\LARGE\textbf{\underline{\underline{Solution :-}}}$

• First we have to find the area of the square by the given length .

• Then we have to insert the area of the square in the formula of area of the rectangle because in the Question it is given that the area of the square and the rectangle is the same .

$\large:\: \bigstar\textsf\textcolor{orange}{\: \: \: Area _ { ( \: Square \: ) } = Side ^ { 2} }\\\\\\\large: \: \Longrightarrow\textsf{= 60²}\\\\\\\large: \: \Longrightarrow\textsf{= 60 × 60 }\\\\\\\large : \: \Longrightarrow\underline{\boxed{\textsf\textcolor{purple}{ Area _ { ( \: Square \: ) } = 3600 \: m^{2} }}}$

• Now we have to insert the area of the square in the area of the rectangle .

$\large:\: \bigstar\textsf\textcolor{orange}{\: \: \: Area _ { ( \: Rectangle \: ) } = l × b }\\\\\\\large: \: \Longrightarrow\textsf{3600 = 90 × b}\\\\\\\large: \: \Longrightarrow\textsf{ \cfrac{3600}{90} = b }\\\\\\\large: \: \Longrightarrow\textsf{ \cancel\cfrac{3600}{90} = b }\\\\\\\large: \: \Longrightarrow\textsf{40 = b }\\\\\\\\\\\large \therefore\underline{\boxed{\textsf\textcolor{purple}{Breadth of the Rectangle = 40 m .}}}$