Question

A farmer has a rectangular field of length and breadth 240 m and 180 m respectively. He

wants to fence it with 3 rounds of rope. What is the total length of rope he must use?​

Answer 1

$\large{\underline{\red{\rm{Given:}}}}$

• The length of field=240m
• The breadth of field=180m

$\large{\underline{\red{\rm{To\: Find:}}}}$

• Total length of rope

$\large{\underline{\green{\rm{A.T.Q:}}}}$

• Using formula here

$\large{\boxed{\orange{\rm{Perimeter=2(l+b):}}}}$

Perimeter of field=length of rope

⟹2(240+180)

⟹2×420

⟹840m

Hence,

The total length of rope=840×3=2520m

$\large{\boxed{\orange{\rm{Total\: length=2520m:}}}}$

$\large{\underline{\green{\rm{Extra\: Formula\:for\: rectangle:}}}}$

$\large{\underline{\purple{\rm{Area=l*b:}}}}$

$\large{\underline{\green{\rm{Breadth=\frac{Area}{length}:}}}}$

$\large{\underline{\pink{\rm{Length=\frac{Area}{breadth}:}}}}$

Answer 2

The farmer has to cover three times the perimeter of that field.

Therefore,

• Total length of rope required is thrice its perimeter.

Perimeter of the field = 2 × (length + breadth)

Perimeter of the field = 2 × (240 m + 180 m)

Perimeter of the field = 2 × 420 m

Perimeter of the field = 840 m

____________________

Total length of rope required = 3 × 840 m

Total length of rope required = 2520 m