Q. 2

The length of a rectangular field is 23 m more than its breadth. If the perimeter of the field is 206m, then its area is
A. 2420 m2

B. 2520m2

C. 2480m2

D. 2620m2

Answer :

Given: Length of field (l) = 23 + breadth(b) = 23 + b


Perimeter of field = 206 m



We know that,


Perimeter = 2(l + b)


206 = 2(23 + b + b)


206 = 2(23 + 2b)


206 = 46 + 4b


4b = 206 46


4b = 160


b = 40 m


Therefore,


Length of field = 23 + b


= 23 + 40


= 63 m


Now,


Area of rectangle = Length × Breadth


= 63 × 40


= 2520 m2

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