the area of the rectangular field is 108m^2 and one of its side is 9m . how long will a boy take to complete a round along all the sides of rectangular field at the rate of 7 m/ minutes.
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Answers
Given data :-
- The area of the rectangular field is 108m² and one of its side is 9m.
- Speed of boy is 7 meter/minute.
Solution :-
→ First side of rectangular field = 9 meter
Let, second side of rectangular field be x
{Here we need to find sides of rectangle}
Now, according to formula of area of rectangle, [ Area of rectangle = length × breadth]
Here,
→ Area of rectangular field
= first side × second side
→ 108 = x × 9 i.e.
→ x = 108/9
→ x = 12 m
Let, length ( L ) and breadth ( B ) of rectangular field be 12 m and 9 m respectively.
Now, {we need to find perimeter of rectangular field}
→ Perimeter of rectangular field
= 2(L + B)
→ Perimeter of rectangular field
= 2(12 + 9)
→ Perimeter of rectangular field
= 2 ( 21 )
→ Perimeter of rectangular field
= 42 m
Now, {we need to convert speed of boy in standard unit m/s}
→ 7 meter/minute = {7/60} m/s
→ speed of boy = {7/60} m/s
Let, perimeter of rectangular field be the distance covered by boy.
→ distance covered by boy = 42 m
Now, {we use formula of speed}
→ Speed of boy = distance/time
→ 7/60 = 42/time
{divide both side by 7}
→ 1/60 = 6/time i.e.
→ time = 60 × 6
→ time = 360 sec
Hence, the boy take 360 sec to complete round along all the sides of rectangular field.
{Note: 360 sec = 6 minute}
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Answer:
Hence, the boy take 360 sec to complete round along all the sides of rectangular field.