Question

the length of a rectangular plot of land is twice its breadth. if the perimeter of the plot be 180 m then find its area​

Answer 1

length of land is twice it's breadth

L=2B

perimeter of rectangle is 2(L+B)=180

2(2B+B)=180

3B=180/2

3B=90

Breadth is 30 meter

length is 60 meter

Area is l×b=(60)×(30)

1800m^2 is the area.

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The area of the Rectangle is 1800 m².

$\mathfrak{\large{\underline{\underline{Explanation :- }}}}$

Given :

Length of the Rectangle = Twice its Breadth

Perimeter of the Rectangle = 180 m

To Find :

The area of the Rectangle

Solution :

Consider the Breadth as x

Length = 2x

★ $\boxed{\sf{Perimeter=2(Length+Breadth)}}$

$\sf{\implies} \: 2(2x + x) = 180$

$\sf{\implies} \: 4x + 2x= 180$

$\sf{\implies} \: 6x= 180$

$\sf{\implies} \: x= \dfrac{180}{6}$

$\sf{\implies} \:x = 30$

Breadth = 30 m

$\rule{300}{1.5}$

★ Value of 2x

$\sf{\implies} \:30 \times 2$

$\sf{\implies} \:60$

Length = 60 m

Breadth = 30 m

$\rule{300}{1.5}$

Area of the Rectangle -

★ $\boxed{\sf{Area=Length \times Breadth}}$

$\sf{\implies} \: 60 \times 30$

$\sf{\implies} \: 1800$

$\therefore$ The area of the Rectangle is 1800 m².