Question

FOREVER CHANGED AREAS TOPIC: AREA/ MEASUREMENT Your class of 22 is lining up from recess to go back into the classroom and must maintain social distancing by remaining 180cm apart. What is the length of your line in cm and m?

Answer 1

`\huge \boxed{\mathrm{3780 \ cm}}`

`\huge \boxed{\mathrm{37.8 \ m}}`

Explanation:

22 students each maintain distancing of 180 centimeters apart.

1-2-3-4-5-6-7-8-9-10-11-12-13-14-15-16-17-18-19-20-21-22

There are 21 spaces between the students in the line.

21 × 180

= 3780

The length of the line is 3780 centimeters.

To convert cm to m, we divide the value by 100.

`(3780)/(100)` = 37.8

The length of the line is 37.8 meters.

Answer 2

`\huge{\boxed{\bf{Solution:}}}`

We have,

• Number of students = 22
• Distance between any two consecutive student = 180 cm

To FinD:

• Length of the line in cm and m.....

⚠️ Considering the lateral width of each student be negligible and then only considering the gap between them.

• Between 2 students (Gap = 1)
• Between 3 students (Gap = 2)

.................Similarly,

• Between 22 students (Gap = 21)

We have, Length of Gap = 180 cm

➝ Total length of gaps = 180 cm × 21 = 3780 cm

Converting into m,

➝ 100 cm = 1 m

➝ 3780 cm = 3780 / 100 m

➝ 3780 cm = 37.80 m

⚘ Length of line:-

In cm ➝ 3780 cm

In m ➝ 37.8 m

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