If the length of a rectangle is increased by 20% and the width is decreased by 20%, the area is :
A
decreased by 20%
B
decreased by 4%
C
Stay the same
D
increases by 10%
Correct Answer: decreased by 4%
Let's assume the length of the rectangle is L and the width is W.Then the original area of the rectangle = L x WAfter the increase in length by 20%, the new length = L + 0.2L = 1.2LAfter the decrease in width by 20%, the new width = W - 0.2W = 0.8WSo, the new area of the rectangle = (1.2L) x (0.8W) = 0.96LWTherefore, the new area of the rectangle is 96% of the original area.Answer: 96% of the original area.decreased by 4%