Question

The sides of a rectangular Park are in the ratio 4 : 3 .if its area is 1728 m square. find the cost of fencing it at ₹30 per metre.

Answer 1

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 !!!

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 !!!