Question

The length and breadth of a rectangular field is 60m and 30m respectively If a student runs around the field 5 times find the total distance he ran​

Answer 1

Answer:

900 m

Step-by-step explanation:

In one round, the total distance travelled is equal to the perimeter of the rectangular field.

 In 1 round:

  distance travelled = perimeter of rect.

                        = 2(length + breadth)

                        = 2(60m + 30m)

                        = 180 m

∴ In 5 rounds, distance = 5 x 180m

                                      = 900 m

Answer 2

D I A G R A M :

$\sf{30 \: m \:}\huge\boxed{ \begin{array}{cc} \: \: \: \: \: \: \: \: \: \\ \small{ \sf \green{ \: \: \: \: \: \: \: \: \: \: \: Field}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{array}} \\ \: \: \: \: \: \sf{60 \: m}$

Clarification :

Here, we are given a question from the topic Mensuration. We are given that the length of the field is 60 m and breadth of the rectangular field is 30 m. A student runs around the field 5 times, we have to find out the total distance travelled by him.

Considering the statement "around the field", we get that the distance covered by him in one time is the perimeter (length of boundary) of the park. So, at first we'll calculate the perimeter of the park by using the formula of the perimeter of the rectangle as the field is in the shape of the rectangle. Then, he takes round 5 times. So, we'll multiply the distance convered by him in 1 round with 5 in order to calculate the distance he ran.

Explication of steps :

Given,

• Length of the field = 60 m

• Breadth of the field = 30 m

To calculate,

• Total distance ran by him if he runs 5 times around the field.

Calculation,

As per the question,

→ Distance covered by him in 1 time = Length of the boundary of the field

● Length of boundary is considered as the perimeter of the object.

→ Distance covered by him in 1 time = Perimeter of the field

As we know that,

$\bigstar \: \boxed{\sf { Perimeter_{(Rectangle)} = 2( \ell + b) }}$

→ Distance covered by him in 1 time = 2 ( l + b )

→ Distance covered by him in 1 time = 2 ( 60 + 30 ) m

→ Distance covered by him in 1 time = 2 ( 90 ) m

→ Distance covered by him in 1 time = 180 m

→ $\underline{\boxed{\sf{Distance \: Covered_{(1 \: time)}=180 \: m }}} \: \red{\bigstar}$

Now,

→ Distance covered by him in 5 times = Distance covered by him in 1 time × 5

→ Distance covered by him in 5 times = (180 × 5) m

→ Distance covered by him in 5 times = 900 m

→ $\underline{\boxed{\sf{Distance \: Covered_{(5 \: times)}=900 \: m }}} \: \green{\bigstar}$

Therefore, total distance he ran if he ran 5 times around the field is 900 m.