Sri Venkateswara College of Engineering, Sriperumbudur
Question : The area of a rectangular field is 480 m2. If the length is 20% more than the breadth, then the length of the rectangular field is:
Option 1: 30 m
Option 2: 20 m
Option 3: 24 m
Option 4: 27 m
Correct Answer: 24 m
Solution : Given: The area of a rectangular field = $480\ m^2$ Let the breadth be $10x$ Length is 20% more than breadth = $\frac{120}{100}\times10x$ $= 12x$ Area of the rectangle = length × breadth ⇒ $480 = 10x \times 12x$ ⇒ $480 = 120x^2$ ⇒ $x^2=4$ ⇒ $x=2$ $\therefore$ Length = $12x=12\times2=24$ m Hence, the correct answer is 24 m.
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