what is the length of the rectangle if its perimeter is 400m and its side of the ratio is 7:3
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Step-by-step explanation:
perimeter=400
2×(l+b)= 400
l+b =200
now.. sides are in the ratio of 7:3
therefore we can assume the length and breadth to be 7x and 3x respectively
therefore 7x+3x=200
10x=200
X= 20
therefore length=7x=140
breadth=3x=60
Answered by
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Given :
Perimeter 'P' = 400m
The ratio of sides of the rectangle = 7:3
To find :
Length 'l' of the rectangle
Solution :
Ratio of the sides = 7:3
Then let's assume;
length 'l' = 7x ; breadth 'b' = 3x
Perimeter of a rectangle = (2 x length) + (2 x breadth)
P = 2l + 2b
P/2 = l + b = 7x + 3x = 10x
10x = P/2 = 200m
x = 20m
Therefore length = 7x = 140m
breadth = 3x = 60m
The length of the rectangle is 140m
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