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 isA. 2420 m2B. 2520m2C. 2480m2D. 2620m2

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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