Question

A door of length 2 m and breadth 1m is fitted in a wall. The length of the
wall is 4.5 m and the breadth is 3.6 m (Fig11.6). Find the cost of white
washing the wall, if the rate of white washing the wall is * 20 per m²​

Answer 1

Answer:

$\huge\star{\underline {\underline{\pink{Q}{uestion}}}}\star\:$

A door of length 2 m. and breadth 1 m. is fitted in a wall. The length of the wall is 4.5 m. and the breadth is 3.6 m.

Find the cost of white washing the wall, if the rate of white washing the wall is 20 per m².

$\huge\star{\underline{\underline{\pink {A}{nswer}}}}\star\:$

White washing of the wall has to be white washed excluding the area of door.

$\red {=》} Area \:of \:the\: wall\: including\: door = length × breadth\\ \red {=》} 4.5 m. × 3.6 m. = 16.2 m²\\ \red {=》} Area of rectangular door = length × breadth\\ \red {=》} 2m. × 1m. = 2 m² \\\huge{\underline{\underline{Now,}}}$

Area of wall excluding door = Area of wall including door - Area of rectangular door

$\red {=》}16.2 m² - 2 m²\\ \red {=》} 14.2 m²\\ \huge {\underline {\underline {Given,}}}$

The rate of white washing of 1 m² the wall = 20

The rate of white washing 14.2 m² the wall = 20 × 14.2

$\red {===》} 284\\ \huge\green{\underline {\underline{\mathtt {Final\: Answer}}}}$

The cost of white washing

of the wall excluding door

is 284

Answer 2

Step-by-step explanation:

White washing of the wall has to be white washed excluding the area of door.

\begin{gathered}\red {=》} Area \:of \:the\: wall\: including\: door = length × breadth\\ \red {=》} 4.5 m. × 3.6 m. = 16.2 m²\\ \red {=》} Area of rectangular door = length × breadth\\ \red {=》} 2m. × 1m. = 2 m² \\\huge{\underline{\underline{Now,}}} \end{gathered}

=》Areaofthewallincludingdoor=length×breadth

=》4.5m.×3.6m.=16.2m

2

=》Areaofrectangulardoor=length×breadth

=》2m.×1m.=2m

2

Now,

Area of wall excluding door = Area of wall including door - Area of rectangular door

\begin{gathered}\red {=》}16.2 m² - 2 m²\\ \red {=》} 14.2 m²\\ \huge {\underline {\underline {Given,}}} \end{gathered}

=》16.2m

2

−2m

2

=》14.2m

2

Given,

The rate of white washing of 1 m² the wall = 20

The rate of white washing 14.2 m² the wall = 20 × 14.2

\begin{gathered}\red {===》} 284\\ \huge\green{\underline {\underline{\mathtt {Final\: Answer}}}} \end{gathered}

===》284

FinalAnswer

The cost of white washing

of the wall excluding door

is 284