the length of a rectangular field is twice its breadth a girl job around it 4 times and cover the distance of 4.5 km what is the length of field
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length=2b
breadth =b
total distance covered =4 x perimeter=4p=4.5km
perimeter=4.5/4=1.125
therefore 2(l+b)=1.125km
2l+2b=1.125
2l=2b x 2+2b=1.125
4b+2b=1.125
6b=1.125
b=0.1875
Length=2b
=0.375
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answer 375m
Step-by-step explanation:
The length of a rectangular field is twice its breadth. A girl jogged around it 4 times and covered a distance of 4.5km. What is the length of the field?
The length of a rectangular field is twice its breadth. A girl jogged around it 4 times and covered a distance of 4.5 km. What is the length of the field?
The distance cover in 4 laps is 4.5 km, So one lap is 4.5/4 = 1.125 km.
Let the breadth of the field be B so the length will be L or 2B.
The perimeter of the field is 2L+2B or 4B+2B = 6B = 1.125, so B = 1.125/6 = 0.1875 km and the length is 2*0.1875 = 0.375 km.
Check: Perimeter = 2*0.375 + 2*0.1875 = 1.125 km and 4 laps covers 4*1.125 = 4.5 km. Correct.
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