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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