Question

the area of a reactanguler is a 180 meter sqaure if the breadth of the room is 12 m find the length of the room​

Answer 1

Answer:

⚜️⚜️Length = 15m ⚜️⚜️

Step-by-step explanation:

Given,

Breadth = 12m

Length = ?

Area of Reactangular = length x breadth

=> 180 = x × 12

=> x = 15m

Answer 2

Solution :

$\bf{\red{\underline{\bf{Given\::}}}}$

The area of a rectangular is a 180 m², If the breadth of the room is 12 m.

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(7.7,3){\large{A}}\put(7.3,2){\sf{\large{r m}}}\put(7.7,1){\large{B}}\put(9.2,0.7){\sf{\large{12 m}}}\put(11.1,1){\large{C}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\put(11.1,3){\large{D}}\end{picture}}$

$\bf{\red{\underline{\bf{To\:find\::}}}}$

The length of the room.

$\bf{\red{\underline{\bf{Explanation\::}}}}$

We know that formula of the area of rectangle :

$\bf{\boxed{\bf{Area\:of\:rectangle=Length\times breadth}}}}$

A/q

$\longrightarrow\sf{180m^{2} =r\times 12m}\\\\\longrightarrow\sf{r=\cancel{\dfrac{180m^{2} }{12m} }}\\\\\longrightarrow\sf{\pink{r=15\:m}}$

Thus;

The length of the rectangular room is 15 m.

$\boxed{\begin{minipage}{5cm}\underline{Formulas of rectangle :}\\ \\ \sf{Perimeter=2(Length+Breadth)}\\ \\ \sf{Area=Length\times Breadth}\\ \\ \sf{Diagonal=\sqrt{l^{2} +b^{2} } } \end{minipage}}$