Question

the size of a rectangular Park air in the ratio 4:3 if its area is 1728 square meter, find the cost of fencing it at ₹30 per metre ​

Answer 1

Answer :-

• The cost of fencing it at Rs. 30 per metre is Rs. 5040.

Step-by-step explanation :

To Find :-

• The cost of fencing the rectangular park at Rs. 30 per metre.

Solution :-

Given that,

• The size of Rectangular park are in the ratio of 4:3
• The area of park = 1728m²
• The cost of fencing at the rate of Rs. 30

First we need to find out the length and breadth of the Rectangular park,

Assumption: Let us assume the ratio of length and breadth as 4x and 3x,

Therefore,

• 4x × 3x = 1728m²

=> 4x*3x = 1728

=> 12x² = 1728

=> x² = 1728/12

=> x² = 144

=> x² = √144

=> x = 12

• The value of x is 12.

Now, the length and breadth is,

• Length :

=> 4x

=> 4*12

=> 48m

• Breadth :

=> 3x

=> 3*12

=> 36m.

Now, perimeter, As we know that,

Perimeter of rectangle = 2 ( Length + Breadth ),

=> 2 ( 48 + 36 )

=> 2 × 84

=> 168

According the question,

The cost of fencing it at Rs. 30 per metre is,

=> Rs. ( 168 × 30 )

=> Rs. 5040

Therefore,

• The cost of fencing it at Rs. 30 per metre is Rs. 5040.

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 !!!