the length of a rectangle is twice its breadth..if its perimeter is 78 cm..find the length and breadth...
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Answered by
3
The perimeter of a rectangle is given by the formula 2*L + 2*B, where L is the length and B is the breadth.
Since L = 2*B, we can substitute this in the above equation to find the perimeter.
Thus, 2*2*B + 2*B = perimeter. Given perimeter is 78, we get
78 = 4*B + 2*B = 6*B.
Or B = 78/6 = 13.
And length L = 2*13 = 26cm.
Thus, the Length = 26cm and Breadth = 13cm.
Since L = 2*B, we can substitute this in the above equation to find the perimeter.
Thus, 2*2*B + 2*B = perimeter. Given perimeter is 78, we get
78 = 4*B + 2*B = 6*B.
Or B = 78/6 = 13.
And length L = 2*13 = 26cm.
Thus, the Length = 26cm and Breadth = 13cm.
Answered by
10
hii...
let the breadth be x
then , length = 2x
perimeter of rectangle= 2( length+breadth)
=> 78= 2 ( 2x + x)
=> 6x = 78
=> x = 13
so, length = 2x = 26 cm and breadth =13 cm
________
hope this helps!
let the breadth be x
then , length = 2x
perimeter of rectangle= 2( length+breadth)
=> 78= 2 ( 2x + x)
=> 6x = 78
=> x = 13
so, length = 2x = 26 cm and breadth =13 cm
________
hope this helps!
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