Question

the length and breadth of a playground are 200 m and 150 m respectively. if an athlete wants to run 7km, how many times should he go around this field?

Answer 1

Perimeter of a rectangle is 2 ( L + B ). = 2 ( 200 + 150 ) m= 700 m.

To run 7 km or 7000 m he needs to go around 7000/700 = 10 times.

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Answer 2

Answer:-

• The athlete goes around the playground 10 times to cover a distance of 7 km.

Given:-

• Length of playground = 200 m
• Breadth of playground = 150 m
• Athlete runs = 7 km

To find:-

• No of times athlete goes around the playground

Solution:-

Formula to calculate the perimeter of rectangle.

$\bull \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \huge{\mathfrak{ \green{perimeter = 2(l + b)}}}}$

Where,

• l = length of rectangle
• b = breadth of rectangle

As per question,

$\implies \: \: \: \: \: \: \: { \rm{\large{perimeter = 2(200 + 150)}}}$

$\implies \: \: \: \: \: \: \: { \rm{\large{perimeter =2 \times 350}}}$

$\implies \: \: \: \: \: \: \: { \rm{\large{perimeter =700 \: m}}}$

• The perimeter of rectangle is 700 m

$\bullet \: \: \: \: \: \: \: \: \: \: \: \:{ \rm{ \large{no. \: of \: rounds \: required \: are = \frac{total \: distance \: covered \: by \: athlete}{perimeter \: of \: playground}}}}$

$\implies \: \: \: \: \: \: \: { \rm{\large{no. \: of \: rounds \: required= \frac{7}{0.7}} }}$

$\implies \: \: \: \: \: \: \: { \rm{\large{no. \: of \: rounds \: required= \frac{ \cancel7 \times 10}{ \cancel7} }}}$

$\implies \: \: \: \: \: \: \: { \rm{\large{no. \: of \: rounds \: required=10}}}$

Hence:-

The athlete goes around the playground 10 times to cover a distance of 7 km.