Question

Length and breadth of a rectangular field are in the ratio 9:5. If area of field is 14580 square metre ,find the cost of surrounding the field wth a fence at the rate 3.25per metre

Answer 1

Hi,
your answer is as follows:-

let ratio of length to breadth be x
so ratio becomes 9x:5x=14x
Area of field=14580m^2
According to question
area=l×b
14580=9x×5x
14580=45x^2
14580/45=x^2
324=x^2
18=x
So length=9x=9×18=108m
breadth=5x=5×18=90m
rate per metre=3.25rs
so per metre square=3.25×3.25=10.5625
cost=10.5625×14580
=154001.25rs

hope it helps.........

please mark brainliest

Answer 2

Let the length of rectangle be 9x and its breadth be 5x

So,

Area = l × b

⇒ 14580 = 9x × 5x

45x2 = 14580

x2 = 14580/45 = 324

x = √324

x = 18

Hence,

Length = 9 × 18 = 162 m and Breadth = 5 × 18 = 90 m

Now, Perimeter = 2(l + b)

= 2 (162 + 90) = 2(252)

= 504 m.

Therefore, cost for fencing the surrounding 504 m at the rate of ₹3.25 per metre = ₹(504 × 3.25) = ₹1638

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