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Question
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?
9 cm
12 cm
20 cm
26 cm
ANSWER : 2
Descrption
<p>Let, original length =l and width =w</p><p>so, perimeter = 2(l+w) = 26<br>⇒ (l+w) = 13 ------------ (i)</p><p>given that, <br>new width =3w<br>New length = l/4</p><p>A.T.Q.<br>l/4 = 3w<br>l = 12w ------------- (ii)</p><p>substituting the value of l in the equation, (i) we get,<br>12w+w = 13<br>⇒ 13w = 13<br>⇒ w= 1<br>so, l =12</p><p>So, the length of a side of the square = l/4 = 12/4 = 3 cm, <br>or 3w = 3×1 = 3 cm.</p><p>So, the perimeter of the resulting square = 4 × 3 cm = 12 cm </p>
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