Answer: The percentage increase in perimeter is 7%.
Step-by-step explanation:
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(length + width)
The original length of the rectangle is 20 and the original width is 30. The original perimeter of the rectangle would be
Perimeter = 2(20 + 30) = 100
The length of the rectangle is increased by 10 percent. It means that the new length would be
20 + (0.1 × 20) = 22
The width of the rectangle is increased by 5 percent. It means that the new width would be
30 + (0.05 × 30) = 31.5
The new perimeter of the rectangle would be
Perimeter = 2(22 + 31.5) = 107
The increase in perimeter is
107 - 100 = 7
The percentage increase in perimeter is
7/100 × 100 = 7%
