Question

5. The sides of a rectangular park are in the ratio 4:3. If its area is 1728 m2. find the cost of fencing it at 30 per metre.​

Answer 1

Step-by-step explanation:

let the two sides of the rectangle be 4x and 3x respectively.

area= 1728m² (given)

area of a rectangle= l×b

A.T.Q

4x×3x=1728

12x =1728

x =144

length= 144×4=576

breadth=144×3=432

area=248832m²

cost of fencing= rupees 30

total cost= rupees 7464960

Answer 2

Hey there!!!

Let 4x and 3x be the dimension of the rectangular park

According to the question -

$= > 4x \times 3x \: = 1728 \\ = > {12} {x} ^{2} = 1728 \: {m}^{2} \\ = > {x}^{2} = 144 \\ = > x \: = \sqrt{144} \\ = > x = 12$

L = 4x => 4 ×12 = 48

B = 3x => 3 × 12 = 36

Perimeter = 2( l+ b)

= 2 ( 48+36)

= 168

cost = rate × perimeter

= 30 × 168

= ₹ 5040

Hope this helps u !!!