Let The length of the rectangle be x.
Let the width of the rectangle be (2/3) of x i.e. (2/3)x.
we know , The perimeter of the rectangle is calculated by the formula [
2(length +width) ] and as given in the data it is 180 metres.
Now equate everything,
2(2/3x +x) =180
2/3x +x =180/2
2/3x +x = 90
Now take x as a common variable on the L.H.S.
x(2/3 +1) =90
Add 2/3 and 1 on the L.H.S,
x(5/3) = 90
x = 90 / (5/3)
x = 90 * 3/5 x = 54
Therefore, the length of the rectangle is 54 metres and the width is 36 metres(2/3 of 54) Hope u got it! I think I'm right! It's just a guess!!