1. 26
2. 20
3. 38
4. 25
5. 47
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%
Use the distance formula to find the distance.
D=√(x2-x1)^2 + (y2-y1)^2 (the entire equation is square rooted)
Plug in your numbers
D=√(4-1)^2 + (8-2)^2
D=√(3)^2 + (6)^2
D=√9+36
D=√45
D=3√5
D=6.7
