Question

12. The sides of a rectangular park are in the ratio 5:3. If its area is 9375 m², then find the
cost
of fencing it at 24 per metre.
​

Answer 1

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Given:

• We have been given the ratio of sides of a rectangular park as 5 : 3.
• The area of rectangular park is 9375m².

To Find:

• We need to find the cost of fencing the rectangular park ar Rs 24 per m.

Solution:

The given ratio of sides is 5 : 3.

So, let the sides be 5x and 3x.

=> Area of rectangular park = Side × Side

=> 5x × 3x = 9375m²

=> 15x² = 9375m²

=> x² = 9375/15

=> x² = 625

=> x = √625

=> x = 25

Therfore, sides are:

5x = 5 × 25 = 125m

3x = 3 × 25 75m

Now, inorder to find the cost of fencing we first need to find the perimeter of the rectangular park.

We know that the perimeter of a rectangle is 2(l + b).

Substituting the values, we have

Perimeter = 2(125 + 75)

= 2(200)

= 400m

Now, cost of Fencing = Rs 24 per m

=> Cost of fencing for 400 m = 400 × 24

= Rs 9600

Hence, cost of fencing the rectangular park at Rs 24 per metre is Rs 9600.

Answer 2

Hey!! your answer is Rs. 9600

Step-by-step explanation:

The given ratio of side is = 5:3

So, let the sides be 5x and 3x.

Area of rectangular park = Side × side

> 5x × 3x = 9375m²

> 15x² = 9375m²

> x² = 9375

15

> x² = 625

> x = √ 625

> x = 25

Therefore, sides are;

5x = 5 × 25 = 125m

3x = 3 × 25 = 75m

Now, we will find the cost of fencing,

But first we need to find the perimeter of the rectangular park.

We know that, the perimeter of rectangle is 2( L+B ).

Substituting the values, we have,

Perimeter = 2(L+B)

= 2(125+75)

= 2 × 200

= 400m

NOW,

Cost of fencing = Rs. 24 per metre OR Rs. 24/m

> Cost of fencing gor 400m = 400 × 24

= Rs. 9600

Hence the cost of fencing the rectangular park at Rs. 24 per m. is Rs. 9600.

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