Question

1. The length and breadth of a rectangular field are in the ratio 9:5. If the area of the fiela
is 14580 square metre, find the cost of surrounding the field with a fence at the rate of
3.25 per meter
​

Answer 1

Answer :-

• The cost of surrounding the field with a fence at the rate of Rs. 3.25 per meter is Rs. 1638.

Step-by-step explanation:

To Find :-

• The cost of surrounding the field with a fence at the rate of Rs. 3.25 per metre.

Solution:

Given that,

• The length and breadth are in the ratio of 9:5
• The area of the field = 14580m²

∴ The length and breadth are :-

Assumption: Let us assume the length as "9x" and the breadth as "5x", Therefore,

=> 9x*5x = 14580

=> 45x² = 14580

=> x² = 14580/45

=> x² = 324

=> x = √324

=> x = 18

Now, length and breadth of the field are :-

Length :-

=> 9x

=> 9*18

=> 162m

Breadth :-

=> 5x

=> 5*18

=> 9m.

Hence, perimeter of the field :-

We know,

Perimeter = 2(length+breadth)

=> 2 ( 162 + 90 )

=> 2 ( 242 )

=> 504m

According the question,

The cost of surrounding the field with a fence at the rate of Rs. 3.25 per meter :-

=> Rs. ( 504 × 3.25 )

=> Rs. 1638

Answer 2

Answer:

let lenght be 9x

so breadth =5x

area =l×b

=9x×5x

45x^2

but area is 14580

so

14580=45x^2

14580/45=x^2

324=x^2

x= 18

lenght =9x =9×18=162

breadth =5x=5×18=90

perimeter=2(l+b)

=2(162+90)

=2×252

=504m

cost of fencing =rate ×perimeter

=3.25×504

=1638.1rupees

Step-by-step explanation:

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