Question

QUESTION 2:-
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 (see the given figure). Find the cost of white washing the wall, if the rate of white washing the wall is Rs 20 per m2.

Answer 1

$\LARGE\tt\underline{Answer}$ $\mapsto$

$\rightarrow$ Length of the door = 2m

$\rightarrow$ Breadth of the door = 1m

$\rightarrow$ Area of the door = ${l\:×\:b}$ = 2 × 1m² = 2 m²

____________________________

$\rightarrow$ Length of the wall = 4.5 m

$\rightarrow$ Breadth of the wall = 3.6 m

$\rightarrow$ Area of wall = ${l\:×\:b}$ = 4.5 × 3.6 m² = 16.20 m²

____________________________

$\rightarrow$ Area of the wall excluding door = 16.20 m² - 2 m² = 14.20 m²

____________________________

Cost of white washing the wall = ₹14.20 × 20 = ₹ 284

$\large\tt\underline\green{Cost\:of\:white\:washing\:=\:₹\:284}$

Answer 2

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 (see the given figure). Find the cost of white washing the wall, if the rate of white washing the wall is Rs 20 per m2.

Answer :

$\bf\pink{given}$

• Length of door is 2 m

• Breadth of door is 1 m

• Length of wall is 4.5 m

• Breadth of wall is 3.6 m

• Rate of white washing is Rs 20 per m²

$\bf\pink{To\:Find}$

• Cost of white washing the wall .

Explanation :

We first need to find the area of door and then the area of wall then we need to subtract the area of door from the area of wall and then multiply it by the rate of white washing .

$\bf\red{Area\:of\:door\:= l\times b}$

• l means length that is 2 m

• b means breadth that is 1 m

$\bf\red{Area\:of\:door\:= 2\times 1}$

$\bf\red{Area\:of\:door\:= 2\:{m}^{2}}$

• Therefore the area of door is 2m²

$\bf\purple{Area\:of\:Wall\:= l\times b}$

$\bf\purple{Area\:of\:Wall\:= 4.5\times 3.6}$

$\bf\purple{Area\:of\:Wall\:= 16.20{m}^{2}}$

• Therefore area of wall with door is 16.20 m²

$\bf\pink{Area\:of\:wall\: without\:door= 16.20 - 2}$

$\bf\pink{Area\:of\:wall\: without\:door= 14.20{m}^{2} }$

• Therefore area of wall without door is 14.20 m²

$\bf\green{Cost\:of\:white\:washing= 14.20\times 20 }$

$\bf\green{Cost\:of\:white\:washing= 284 }$