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2. A farmer has a rectangular field of length and breadth 240 m and 180 m resp. He wants to fence it with 3 rounds of rope. What is the total length of rope he must use?
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3. Find the distance travelled by Ajay if he takes 3 rounds of square park of side 70 m.
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Answer 1

Question :

A farmer has a rectangular field of length and breadth 240 m and 180 m resp. He wants to fence it with 3 rounds of rope. What is the total length of rope he must use?

Given :

• Length of the rectangular field is 240 m.
• Breadth of the rectangular field is 180 m.

To Find :

• the total length of rope must use.

Solution :

${\underline{\boxed{\bf{\pink{Perimeter = 2 \times (Length + Breadth)}}}}}$

$:\implies \tt \: 2 \times (240+ 180)$

$:\implies\tt \: 2 \times 420$

$: \implies \bf{\: 840 \: m\: }$

★ According to Question :

Farmer wants to fence the rectangular field 3 rounds of the rope.

$:\implies\tt \: Length \ required = Total \ perimeter \times 3$

$:\implies \tt 3\times 840$

$:\implies \bf{\: 2520 \: m\:}$

∴ 3360 m long rope is required.

Additional information :

some related formulas :

• ${\sf{\twoheadrightarrow{Area\: of \:rectangle = length \times breadth}}}$

• ${\sf{\twoheadrightarrow{Perimeter \:of \:rectangle =2(length + breadth)}}}$

• ${\sf{\twoheadrightarrow{Perimeter \: of \:square = 4 \times side}}}$

• ${\sf{\twoheadrightarrow{Area \: of \:square = side × side }}}$

• ${\sf{\twoheadrightarrow{Perimeter \:of \:circle = 2πr}}}$

• ${\sf{\twoheadrightarrow{Area \:of \:circle = πr^2}}}$

• ${\sf{\twoheadrightarrow{Perimeter \:of \: parallelogram = 2 × (a + b) .}}}$

• ${\sf{\twoheadrightarrow{Area \:of \:parallelogram = \: base × height }}}$

• ${\sf{\twoheadrightarrow{Perimeter \:of \:rhombus = 4 × side}}}$

• ${\sf{\twoheadrightarrow{Area \:of \: rhombus =\frac{1}{2} ×diagonal _1× diagonal _2 }}}$

• ${\sf{\twoheadrightarrow{Perimeter \: of \:equilateral \:triangle = 3 × side}}}$

• ${\sf{\twoheadrightarrow{Area \:of \:equilateral \:triangle = \frac{√3}{4 }×a^2 }}}$

• ${\sf{\twoheadrightarrow{ Perimeter \:of \: trapezoid = a+b+c+d (Sum \: of \:all \: sides)}}}$

• ${\sf{\twoheadrightarrow{Area \: of \: trapezoid =\frac{ a + b }{2 } \: height}}}$

Question :

Find the distance travelled by Ajay if he takes 3 rounds of square park of side 70 m.

Given :

• Side of square park is 70 m.
• He takes 3 rounds of park

To find :

• the distance travelled by Ajay

Solution :

$:\implies\sf\:Total \:distance \:travelled\: by\: Ajay = Perimeter\: of\: square\: park × 3$

$:\implies\sf\:Total \:distance = (4 × 70) × 3$

$:\implies\sf\:Total\: distance = 840$

hence,

Total distance travelled by Ajay is 840 m.