The perimeter of a rectangle is 26 cm. The rectangle is converted to a square by tripling the width and taking a quarter of the length. what is the perimeter of the resulting square?

The perimeter of a rectangle is 26 cm. The rectangle is converted to a square by tripling the width and taking a quarter of the length. what is the perimeter of the resulting square? Correct Answer 12 cm

Let, original length =l and width =wso, perimeter = 2(l+w) = 26⇒ (l+w) = 13 ------------ (i)given that, new width =3wNew length = l/4A.T.Q.l/4 = 3wl = 12w  ------------- (ii)substituting the value of l in the equation, (i) we get,12w+w = 13⇒ 13w = 13⇒ w= 1so, l =12So, the length of a side of the square = l/4 = 12/4 = 3 cm, or 3w = 3×1 = 3 cm.So, the perimeter of the resulting square = 4 × 3 cm = 12 cm 
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