Question

the area of a square Park is the same as of a the rectangular Park. if the side of the square Park is 60m and the length of the rectangular Park is 90m, find the breadth of the rectangular Park. ​

Answer 1

Given :-

Area of a square park = area of a rectangular park

Length of side of square park = 60 m

Then :-

The area of the square park :-

$= \texttt{ side \: × side}$

$= \texttt{ \ \: 60 \: × 60}$

$= \texttt{\color{hotpink} \: \: 3600 m²}$

So, the area of the square park = 3600 m² .

Length of the rectangular park = 90 m

The area of the rectangular park = 3600 m²

Let the measure of the breadth of this rectangular park be x .

Which means :-

The breadth of this rectangular park :-

$\texttt{area} =\texttt{ length \: × breadth}$

$\texttt{3600 = 90 \: × \: }x$

$\texttt{90 \: × } \: x \: = \: \texttt{3600}$

$x = \frac{\texttt{3600}}{\texttt{90}}$

$x = \texttt{40}$

$\hookrightarrow\texttt{\color{olive}breadth = \color{hotpink}40 \:m}$

Let us check whether or not we have found out the correct measure of the breadth of this rectangular park :-

$\texttt{= 40 \: × \: 90}$

$\color{hotpink}\texttt{= 3600 \: m²}$

As the measure of the breadth is forming the correct area we can conclude that we have found out the correct measure of the breadth of this rectangular park .

Therefore, the measure of the breadth of the rectangular park = 40 m