If each side of a rectangular field is increased by 32%, then by how much percent does the area of the field increase?
- A64%
- B72.84%
- C67.74%
- D74.24%
Solution & Step-by-step Explanation
Let the length of the rectangle be l and breadth be b.
Initial Area = l×b
When each side is increased by 32%, we can use the successive percentage increase formula:
Net Percentage Increase=x+y+
100
x⋅y
Here, x=32 and y=32:
Net Increase %=32+32+
100
32×32
Net Increase %=64+
100
1024
=64+10.24=74.24%
Initial Area = l×b
When each side is increased by 32%, we can use the successive percentage increase formula:
Net Percentage Increase=x+y+
100
x⋅y
Here, x=32 and y=32:
Net Increase %=32+32+
100
32×32
Net Increase %=64+
100
1024
=64+10.24=74.24%