Question

The length of a rectangular plot of land is twice its breadth. If the perimeter of the plot be 300m , find its length and breadth.


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Answer 1

Answer:

expansion in pic

Step-by-step explanation:

explanation in pic

Answer 2

Given :-  

• Length of a rectangular plot is twice its breadth  
• Perimeter of the plot is 300 m  

To Find :-  

• Length and Breadth of plot  

Solution :-  

→ Here , we’re given that length is twice the breadth  

→ Let ,  

• Breadth be ‘ x ‘  
• Then length will be ‘ 2x ‘  

⇒ As we know that ,  

Perimeter of Rectangle = 2 ( l + b )  

Where ,  

• L is length  
• B is breadth  

ATQ ::  

$\sf \implies 2( x + 2x ) = 300$  

 $\sf \implies ( x + 2x ) = \dfrac{300}{2}$

$\sf \implies 3x = 150$

$\sf \implies x = \dfrac{150}{3}$  

$\sf \implies x= 50 m$

Therefore :  

Length = ‘ 2x ‘ = 100 m

Breadth = ‘ x ‘ = 50 m  

Formulas for rectangle :-  

Perimeter = 2 ( l + b )  

Area = lb  

$\sf Length = \dfrac{Area}{Breadth}$  

$\sf Breadth = \dfrac{Area}{Length}$ 

$\sf Diagonal = \sqrt{l^{2} + b^{2}}$