Question : Half of the perimeter of a rectangle is 30 cm. If the length of the rectangle is 6 cm more than its breadth, then what is the area of the rectangle?
Option 1: 216 cm2
Option 2: 250 cm2
Option 3: 185 cm2
Option 4: 195 cm2
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Correct Answer: 216 cm 2
Solution :
Half of the perimeter of a rectangle is 30 cm.
Let the length be $x$.
So, breadth = $x-6$
Total perimeter = 30 × 2
⇒ $2(x+x-6)=60$
⇒ $4x=72$
$\therefore x=18$
So, length = 18, breadth = 18 – 6 = 12
$\therefore$ Area of a rectangle = length × breadth = 18 × 12 = 216 cm
2
Hence, the correct answer is 216 cm
2
.
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