Question

the length of a rectangular plot is 4 metres more than its breadth. If the perimeter of the plot is 160 metres,find the dimensions of the plot.

Answer 1

let the breadth be x
here as per the question.....
length is 4m more than breadth
I.e.length=x+4

now....as we know perimeter of rectangle=160m
perimeter=2(length+breadth)
160m=2(x+4+x)
160m=2(2x+4)
160m=4x+8
160m-8=4x
152m=4x
152/4=x
38m=x

therefore...x=38m
x+4=38+4=42m
plzzzz mark brainliest.....pzzzzzzz

Answer 2

$\mathsf{Let,}$

$\mathsf{Breadth \ = \ b}$

$\mathsf{A/q}$

$\mathsf{Length \ = \ b + 4}$

$\mathsf{Perimeter \ of \ the \ plot \ -}$

$\mathsf{= \ 2(Length + Breadth)}$

$\mathsf{= \ 2(b + 4 + b)}$

$\mathsf{= \ 2(2b + 4)}$

$\mathsf{Also, }$

$\mathsf{Area \ = \ 160 \ m^2}$

•°•

$\mathsf{160 \ = \ 2(2b + 4)}$

$\mathsf{2b + 4 = 80}$

$\mathsf{2b \ = \ 80 - 4}$

$\mathsf{2b \ = \ 76}$

$\huge\mathsf\red{\boxed{b \ = \ 38 \ m}}$

$\mathsf{Length \ = \ 38 + 4}$

$\huge\mathsf\red{\boxed{l \ = \ 42 \ m}}$