Question

the sides of rectangular park are in the ratio 4:3 if the area is 1728 meter square find the cost of fencing it at the rate of rd 2.50 m

Answer 1

let ratio quanrity = k
Area of rectangular park = 1728
4k × 3k = 1728
12k^2 =1728
K^2 = 144
K = 12
perimeter of park = 2( 4k + 3k)
= 2(4×12 +3×12)
= 2(48+36)
=2×84
= 168m
given, 1m fencing cost = 2.50
so, cost of 168m long fence = 168×2.50
= 420rs

Answer 2

Answer:

Step-by-step explanation:

Let, the sides be x.

So, the ratio would be...4x:3x.

Area = l*b

1728 = 4x*3x

1728 = 12x^2

1728/12 = x^2

144 = x^ 2

So, x = 12m (Sqrt of 144)

4x = 4*12 = 48m

3x = 3*12 = 36m

Now, Perimeter = 2 (l+b)

= 2 (48+36)

= 2 (84)

= 168m

Cost of fencing = 168*2.5

= Rs. 420