The length and breadth of a rectangle are increased
by 20% and 25% respectively. The increase in the
area of the resulting rectangle will be:
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Answer: 5l +4b +1
Step-by-step explanation: L = l + 20/100 and B = b + 25/100, where B and L are breadth and length of new rectangle and b and l are of old rectangle.
Area of new rectangle = (l+20/100) × (b+25/100) = (l+1/5)×(b+1/4) = (5l+1)/5 × (4b+1)/4 =( 20lb +5l + 4b + 1)/20
Increase in area = new area - old area
= (20lb + 5l + 4b +1)/20 - lb
= 20lb + 5l + 4b +1 - 20lb
= 5l + 4b +1
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