Correct Answer - Option 1 : 26% increase
Formula used
Area of rectangle = length × breadth
Calculation
Let length of rectangle = L and Breadth of rectangle = B
Initial area= L × B
Final length =L + (40/100) L = 1.4 L
Final breadth = B - (10/100) B = 0.9 B
Final area = 1.4 L × 0.9 B
⇒ 1.26 L × B
Change in area = 1.26 (L × B) - (L × B)
⇒ 0.26 L × B
∴ Percentage Change in area = [(0.26 L × B)/(L × B)] × 100
⇒ 26% increase
Alternate method-
Length - increased 40% = +40%
Breathe - decrease 10% = -10%
% change in area = L + B + L × B/100
= +40 + (-10) + (+40) × (-10) / 100
= +30 - 4 = +26 = Increased by 26%
