Question

THE SIDES OF A RECTANGLE PARK ARE IN RATIO 4:3.IF ITS AREA IS 1728MSQUARE,FIND:
1.ITS PERIMETER
2.COST OF FENCING IT AT THE RATE OF $40 PER METER​

Answer 1

Step-by-step explanation:

the ratio of length and breadth of rectangle is 4:3

let length be 4x

and breadth be 3x

area = 1728 sq m

l × b = 1728

$4x \times 3x = 1728 \\ 12 {x}^{2} = 1728 \\ {x}^{2} = \frac{1728}{12} \\ {x}^{2} = 144 \\ x = \sqrt{144} \\ x = 12$

length is 4x = 4 × 12 = 48 m

breadth is 3x = 3 × 12 = 36 m

I) perimeter of rectangle = 2(l + b)

= 2(48 + 36)

= 2 × 84

= 168 m

II) cost of fencing @ 40 per metre

= 168 × 40

= 6720

hope you get your answer