Question

That sides of rectangular park are in the ratio 4:3 . If it's area is 1728 m ^2 , find It's perimeter

Answer 1

Hey mate..
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The solution to your given problem is:-
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Let , the length of the rectangular park, L be 4x

and the breadth of the rectangular park, B be 3x

It is given that ,

Area of a rectangular park is 1728 m^2

We know ,

Area of a rectangle = L × B

=> 1728 = 4x × 3x

=> 1728 = 12x ^2

=> 144 = x ^2

=> $\sqrt{144}$ = x

=> 12 = x

Therefore, The value of x is 12

We get ,

Length of the rectangular park = 4 × 12 = 48

Breadth of the rectangular park = 3 × 12 = 36

We know,

Perimeter of a rectangle = 2 ( L + B )

= 2 ( 48 + 36 )

= 2 × 84

= 168 m

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