Question : If the length of one side of a rectangle is twice that of the other side, and its perimeter is 54 cm, then what is the length of the longer side of this rectangle?
Option 1: 14 cm
Option 2: 9 cm
Option 3: 27 cm
Option 4: 18 cm
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Correct Answer: 18 cm
Solution : Given: Perimeter = 54 cm According to the question, Length of the longer side = twice of breadth Let the breadth be $x$. length $= 2x$ Perimeter $= 2 (l +b) $ ⇒ $54 = 2( 2x + x)$ ⇒ $54 = 6x$ ⇒ $x = 9$ Thus, length of the longer side $= 2x = ( 2 × 9) = 18$ Hence, the correct answer is 18 cm.
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