Question

A rectangular garden is 120m by 100m how many round of the garden will a boy make if he covers 2200 meters​

Answer 1

Rectangle

Rectangle has 4 sides in which opposite sides are equal. It has 4 vertices and 4 edges. The internal angle is 90°.

Now, Let us move on finding the solution for our question,

It is given that,

• Length = 120 m
• Breadth = 100 m
• He covered = 2200 m

We know that, Normally when we walk we used to calculate the perimeter and not area. As Because we never walk on the inner area, we only walk on the outer surface. So we need to calculate the Perimeter.

We also know that,

$\boxed{Perimeter\:of\:a\:Rectangle\:=\:2[Length\:+\:Breadth]}$

Substituting values in Formula, we get,

$\implies\sf{Perimeter\:=\:2[120\:+\:100]}$

$\implies\sf{Perimeter\:=\:2[220]}$

$\implies\sf{Perimeter\:=\:440\:m}$

It is given that, He covers a total distance of 2200 meter, and As we know the Perimeter is = 440 m. We could understand that in one round he could complete 440 m.

So, No. of. Rounds the boy would cover,

$\boxed{No.\:of.\:Rounds\:={\dfrac{Total\:Distance\:Covered}{Perimeter}}}$

$\implies\sf{No.\:of.\:Rounds\:=\:{\dfrac{2200}{440}}}$

$\implies\sf{No.\:of.\:Rounds\:=\:{\cancel{{\dfrac{2200}{440}}}}}$

$\implies\sf{No.\:of.\:Rounds\:=\:5}$

Hence, he could complete 5 rounds covering 2200 m.

Answer 2

Answer:

This question says us that there is a garden in rectangular shape whose length and breadth are 120m and 100m respectively and we have to calculate how many round of the garden will a boy make if he covers 2200 meters.

The given values are;

Length of the rectangle = 120m

Breadth of the rectangle = 100m

Total distance covered = 2200 meters.

The perimeter of rectangle of length $l$ and breadth $b$ is:

$\boxed{\bf{Perimeter_{(rectangle)} = 2(l+b)}}$

By substituting the given values in the formula, we obtain:

$\implies Perimeter_{(rectangle)} = 2(120 + 100) \\ \\ \implies Perimeter_{(rectangle)} = 2(220) \\ \\ \implies Perimeter_{(rectangle)} = 440$

Now the total number of rounds of the garden boy will cover:

$\boxed{\bf{\dfrac{Total \: distance}{Perimeter \: of \: rectangle}}}$

By substituting the known values in it, we obtain:

$\implies \dfrac{2200}{440} \\ \\ \implies \boxed{\bf{5}}$

Hence, 5 rounds of the garden will a boy make if he covers 2200 meters.