Question

Perimeter of a rectangular plot is 860 m. Its
length is 4 more than its breadth. Find its length
and breadth.​

Answer 1

Answer:

given l=4+b

perimeter =2(l+b)

Replacing l we get

860=2(4+b+b)

860=8+4b

4b=852

b=213

sub this we get

l=217

Step-by-step explanation:

Answer 2

Given

$\sf Let \ the \ length \ of \ the \ rectangular \ plot \ be \ x$

$\sf Let \ the \ Breadth \ of \ the \ rectangular \ plot \ be \ y$

$\sf Length \ is \ 4 \ times \ more \ than \ its \ breadth\\\implies x = y+4--(1)$

SOMETHING YOU NEED TO KNOW

Area of  the rectangle         : Length * Breadth

Perimeter of the rectangle : 2(Length + Breadth)

$\sf Perimeter \ of \ a \ rectangular \ plot = 860 \ m\\\\\implies 2(Length + Breadth) = 860\\\implies2(x+y)=860\\\implies x+y=430\\\implies y+4+y=430\\\implies 2y+4=430\\\implies 2y=430-4\\\implies 2y=426\\\implies y = 213 \ m\\\implies x = 217 \ m$

$\boxed{\boxed{\bold{Therefore \ the \ length \ and \ breadth \ of \ the \ rectangular \ plot \ are \ 217 \ m \ and \ 213 \ m}}}}}}$