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Question

The length of a rectangular field is three times its breadth. If the area of the field is 147 sq. metres, then what is the length of the field (in metres)?
  1. 21


Solution

The correct option is A 21
Let the breadth of a rectangle be x m.
Then, the length equals 3x m.

Area of a rectangle equals the product of length and breadth.
147 m2=x×3x=3x2
x2=49 m2
x=±7 m

Since breadth cannot be negative, we have x=7.

Length of the field is thrice its breadth. Hence, length is 21 m.

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