Question

A play ground is in the shape of rectangle. The length of rectanglr is three times its breadth and its area is 1728 sq.mts. find the perimeter of the rectangle.

Answer 1

let, the length of the ground=3x
and the breadth of the ground=x

Area of the ground= length × breadth
=>1728 m²= 3x × x
=>1728 m²= 3x²
=>1728/3 = x²
=>576 = x²
=> √576 = x
=> x= 24

therefore, length=3x= 3×24=72m
and breadth=x = 24m

Answer 2

$\huge \green{Hello \: Friends}$

$\underline \bold{Given}$

$\bf{length \: of \: ground \: is \: 3 \: times\: the \: breadth}$

$\bold{Area \: of \: ground \: is \: 1728 \: sq.m}$

$\boxed{Answer = > }$

$\bold{Let \: the \: length \: of \: the \: ground \: be \: x}$
$\bf{and \: breadth \: be \: y}$

$\red{According \: to \: question \: ...}$

$\bold{x = 3y}$

$\blue{We \: know \: that...}$

$\bold{Area \: of \: rectagle \: = lenth \: \times \: breadth}$
$\bf{ area \: of \: rectangular \: ground \: = l \: \times b}$

$\bf{1728 = x \times y}$

$\bf{1728 = 3y \times y..........(x = 3y)}$

$\bf{1728 = 3y {}^{2} }$

$\bf{y {}^{2} = \frac{1728}{3} }$

$\bf{y {}^{2} =576 }$

$\bf{y \: = \sqrt{576} }$

$\boxed{y \: = 24}$

$\orange{Therefore \: the \: values \: are}$

$\bf{length \: = 3y = 3 \times 24}$

$\boxed{length \: = 72m}$

$\bf{breadth \: = y \: = 24}$

$\boxed{breadth \: = 24 m}$

NOW

PERIMETER = 2(L + B)

=> 2(72+24)

=> 2 X 96

=> 192 m

$\huge \frak{Thanks}$

$\boxed{Be \: Brainly}$