Question

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

Answer 1

Step-by-step explanation:

let the length of the field be 9x and breadth be 5x

9x × 5x = 14580

45x^2=14580

x^2=324

x=18

hence length = 162m & breadth = 90m.

perimeter = 2(l+b)= 2(162+90) = 504m

therefore cost of fencing = 504×3.25

= 1638rs

hence cost of fencing = 1638 Rs

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

${\fcolorbox{blue}{black}{\blue{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:HumanIntelligence\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}$