Question

the length and breath of a rectangular field are in 4:3.If the area of field is 4800sq.m then find the cost of fencing if RS 80 per metre

Answer 1

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Answer 2

Answer:

Let the length of the rectangular field be 4xm,

then its breadth is 3xm.

Area of rectangular field = 4800m²

Length × breadth = 4800m²

4x × 3x = 4800

12x² = 4800

${x}^{2} = \frac{4800}{12} = 400 \\ x = 20 \\ \\ length \: = (4 \times 20)m \: = 80m \\ \: breadth \: (3 \times 20)m \: = 60m$

Perimeter = 2 (l + b)

= [2 (80 + 60 )]m

= [2 (140)] m = 280m

cost of fencing = ₹(280 × 80) = ₹22400

✅ HENCE the cost of fencing the rectangular field is ₹22400

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