Question

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 rs 24 per metre

Answer 1

Answer:

The total cost of fencing will be Rs 9600

Step-by-step explanation:

Let the sides are 5x and 3x

=> Area = 5x*3x = 9375

=> 15x² = 9375

=> x² = 625

=> x = 25

Hence sides are 125 m and 75 m

Perimeter of the park = 2(L + B)

= 2(125+75)

= 400 m

Cost of fencing = 24 per meter

=> cost of fencing for 400 meter

= 400 x 24

= 9600

Hence the total cost of fencing will be Rs 9600

Answer 2

Answer:

The cost of fencing it at rs 24 per metre = Rs. 9600

Step-by-step explanation:

Area of rectangle = Length x Breadth

Perimeter = 2(Length + breadth)

It is given that,

1). the sides of a rectangular park are in the ratio 5:3.

Therefore Length of park = 5x and

Breadth = 3x

2). area is 9375 m2,

3). cost of fencing it at rs 24 per meter

To find the value of x

Area =  Length x Breadth = 5x * 3x = 9375

15x² = 9375

x² = 9375/15 = 625

$X=\sqrt{625}$

x = 25

To find the Length and the breadth

Length = 5x = 5 x 25 = 125

Breadth = 3x = 3 x 25 = 75

To find the perimeter

Perimeter of rectangle = 2(Length + breadth)

Perimeter = 2( 125 + 75 ) = 400 m

To find the cost for fencing

Total cost for fencing the park = perimeter x cot per meter

Total cost =  400 x 24 = Rs. 9600

Therefore the cost of fencing it at rs 24 per metre = Rs. 9600