Question

There is a rectangular field beside our house owned by Papia's family. The length and
breadth of this land is 48m and 26m respectively. Papia's family has built their house on that
land leaving a gap of 4 metre width on all sides. Let's calculate the area of the region in
which they have built their house.
​

Answer 1

Answer:

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

Given :-

\begin{gathered}\large\texttt{↦ Length of the land = 48 m .}\\\\\large\texttt{↦ Breadth of the land = 26 m .}\\\\\large\texttt{↦ House bulit by leaving a gap of = 4 m .}\end{gathered}

↦ Length of the land = 48 m .

↦ Breadth of the land = 26 m .

↦ House bulit by leaving a gap of = 4 m .

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

To find :-

\begin{gathered}\large\texttt{↦ Area of the region in which }\\\large\texttt{the house is built = ?}\end{gathered}

↦ Area of the region in which

the house is built = ?

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

Formula :-

\large : \: \Longrightarrow\underline{\boxed{\textsf\textcolor{green}{$Area _ { ( \: Rectangle \: ) } = L × B $}}}:⟹

Area

(Rectangle)

=L×B

\LARGE\textbf{\underline{\underline{How to solve :-}}}

How to solve :-

As per the given Question the house is built by leaving a gap of 4 m from all the sides .

So we have to subtract 4 m from all the sides of the land so that we can get the Length and Breadth of the region in which the house is built.

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

Solution :-

First we have to subtract 4 m From all the sides .

\begin{gathered}\large:\: \bigstar\textsf\textcolor{orange}{\: \: \: $Length_ {( \: House \: )} = 48 m - 4 m $}\\\\\\\large : \: \Longrightarrow\underline{\boxed{\textsf\textcolor{purple}{ = 44 m }}}\\\\\\\large:\: \bigstar\textsf\textcolor{orange}{\: \: \: $ Breadth_{ ( \: House \: ) } = 26 m - 4 m $}\\\\\\\large : \: \Longrightarrow\underline{\boxed{\textsf\textcolor{purple}{= 22 m }}}\\\\\\\large:\: \bigstar\textsf\textcolor{orange}{\: \: \: $ Area _ { ( \: House \: ) } = 44 m × 22 m$ }\\\\\\\large : \: \Longrightarrow\underline{\boxed{\textsf\textcolor{purple}{= 968 m²}}}\\\\\\\\\\\large\boxed{\mathcal\textcolor{red}{\bigstar \: \: HOPE \: \: IT \: \: HELPS \: \: YOU \: \: \bigstar}}\end{gathered}

:★Length

(House)

=48m−4m

:⟹

= 44 m

:★Breadth

(House)

=26m−4m

:⟹

= 22 m

:★Area

(House)

=44m×22m

:⟹

= 968 m²

★HOPEITHELPSYOU★