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
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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