Question

The length and breadth of a rectangular field are in the ratio 9:5. If the area of the hell is 14580 square metre, find the cost of surrounding the field with a fence at the rake 23.25 per metre.​

Answer 1

Answer:

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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

⛦ Given :

• The length and breadth of the rectangle field is in ratio 9:5.
• Area = 14580 m².
• And rate of fencing per m =₹ 23.25.

⛦ To find :

• The length and breadth.
• And cost of fencing.

⛦ Solution :

★ Area of rectangle = (length × breadth)

Let the length be 9x

And breadth = 5x

A/Q

→ 9x × 5x = 14580

→ 45x² = 14580

→ x² = 14580/45

→ x² = 324

→ x = √324

→ x = 18

Thus,

1. Length = 9x = 9×18 = 162 m
2. Breadth = 5x = 5×18 = 90 m

_________

Now,find the Perimeter of rectangle.

★Perimeter of rectangle = 2(l+b)

= 2(162 + 90)

= 2 × 252

= 504 m

------------------

Now , finding the cost of fencing the field at the rate of ₹23.25 per m.

∴ Cost of fencing 14,5 m

= ₹( 504 × 23.25)

= ₹ 11,718

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