Question

the length and breadth of a rectangular field are in the ratio 9 ratio 5 if the area of the field is 14580 M find the courses surrounding the fuel with the fence @ 3.25 per metre

Answer 1

length = 9x

breadth = 5x

area = 14580

14580 = 45x²

x² = 14580/45 = 324

x = √324 = 18

Length = 9 x 18 = 162m

breadth = 5 x 18 = 90m

Perimeter = 2(162+90) = 2 x 252 = 504m

cost of fence per meter = 3.25

Cost of 504m = 504 x 3.25 = Rs.1638

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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