the perimeter of a rectangle is 200 cm. Its length is three times its breadth. find its length and breadth
Answers
Answer:
the perimeter of the rectangular field is = 200m
length be x
breadth = 40m
the perimeter of rectangle = 2(l+b)
so, 2(x+40) =200
2x+ 80 = 200
2x = 200 -80
2x = 120
x = 120/2
x = 60
length is 60
Step-by-step explanation:
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Given
Perimeter of Rectangle is 200cm
Length is three times it's breadth
To Find
Length and breadth
Perimeter of Rectangle is 2(length+breadth)
Let us assume that breadth of Rectangle be 'x'
Three times of Breadth be 3x
According to the question
Length is three times it's breadth
Then, length = 3x
Perimeter of Rectangle=2(3x+x)
Perimeter of Rectangle=2(4x)
200=8x
=>x=200/8=25
x=25cm
breadth of Rectangle=25cm
length of Rectangle=3×25=75cm
Check
Perimeter of Rectangle=2(75+25)
Perimeter of Rectangle=2(100)=200cm
Extra information=>
Perimeter is the total distance occupy by a solid 2D figure around its edge.
Example in Real life : To fence a field with wire we need to find the cost of fencing in such case perimeter will used because we have to only fence border of the field.