Question

Deepika takes one 4ound of a square garden of length 80 m. Puja takes one round of a rectangular garden of length 100m and breadth 70. What is the difference in the distance they covered​

Answer 1

$\large\sf\underline{Correct\:Question\::}$

Deepika takes one round of a square garden of length 80 m . Puja takes one round of a rectangular garden of length 100m and breadth 70m . What is the difference in the distance they covered.

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$\large\sf\underline{Final\:Answer\::}$

• Difference between the distance covered by Deepika and Puja is $\sf\color{blue}{20\:m}$

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$\large\sf\underline{Given\::}$

• Length of square garden = 80 m

• Length of rectangular garden = 100 m

• Breadth of rectangular garden = 70 m

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$\large\sf\underline{To\:find\::}$

• Difference in the distance they covered

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$\large\sf\underline{Concept\::}$

Here we are given the length of square garden as 80 m , covered by Deepika also the length and breadth of the rectangular garden covered by Puja is given as 100 m and 70 m respectively . We are asked to find the difference between the distance covered by Deepika and Puja. In order to do so we need to calculate the distance covered by Deepika and Puja, so how we are gonna do !?

Yeah we do know that distance covered by Deepika will be equal to the perimeter of the square Garden likewise distance covered by Puja will be equal to the perimeter of the rectangular garden. So let's calculate their perimeter which will be equal to the distance covered and then their difference. Let's begin !

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$\large\sf\underline{Formula\:to\:be\:used\::}$

• Perimeter of square = $\sf\:4a$

where a stands for length of the square

• Perimeter of rectangle = $\sf\:2(l+b)$

where l stands for length and b for breadth of the rectangle

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$\large\sf\underline{Solution\::}$

Let's first calculate the perimeter of the square garden :

$\sf\:Perimeter\:of\:square\:garden\:=\:4a$

• Substituting the given value of a i.e length

$\sf\implies\:Perimeter\:of\:square\:garden\:=\:4 \times 80$

$\sf\implies\:Perimeter\:of\:square\:garden\:=\:320\:m$

Now we do know that :

Perimeter of square = Distance covered by Deepika

Hence ,

$\small{\underline{\boxed{\mathrm\red{Distance\: covered \:by \:Deepika\:=\:320\:m}}}}$ ★

Let's first calculate the perimeter of the rectangular garden :

$\sf\:Perimeter\:of\:rectangular\:garden\:=\:2(l+b)$

• Substituting the given value of l and b

$\sf\implies\:Perimeter\:of\:rectangular\:garden\:=\:2(100+70)$

$\sf\implies\:Perimeter\:of\:rectangular\:garden\:=\:2(170)$

$\sf\implies\:Perimeter\:of\:rectangular\:garden\:=\:2 \times 170$

$\sf\implies\:Perimeter\:of\:rectangular\:garden\:=\:340\:m$

Now we do know that :

Perimeter of rectangular garden = Distance covered by Puja

Hence ,

$\small{\underline{\boxed{\mathrm\red{Distance\: covered \:by \:Puja\:=\:340\:m}}}}$ ★

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So now let's find their difference :

$\sf\:Distance\:covered \:by \:Puja\:-\:Distance\: covered \:by \:Deepika$

• Substituting the values we got

$\sf\to\:340\:-\:320$

$\small\fbox\purple{→\:20\:m}$ ✤

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!! Hope it helps !!