Shannon because Shannon got 10 times
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%
Jim is 19
let fathers age be x then mothers age = x - 5 and Jim's age is 
(x - 5)
Total their ages and equate to 100
x + x - 5 + (x - 5 ) = 100
multiply through by 2 to eliminate the fraction
2x + 2x - 10 + x - 5 = 200
5x - 15 = 200 ( add 15 to both sides )
5x = 215 ( divide both sides by 5 )
x = 43
father is 43 years, mother is 38 and Jim is 19
Answer/Step-by-step explanation:
1. The figure is composed of a triangle and a rectangle.
Area of the triangle = ½*base*height
base = 4 ft
height = 12 - 8 = 4ft
Area of triangle = ½*4*4 = 8 ft²
Area of rectangle = length * width
Length = 8 ft
Width = 4 ft
Area of rectangle = 8*4 = 32 ft²
✔️Area of the figure = 8 + 32 = 40 ft²
2. The figure is composed of a semicircle and a triangle
Area of the semicircle = ½(πr²)
radius (r) = 3 cm
π = 3
Area = ½(3*3²) = 13.5 cm²
Area of triangle = ½*base*height
base = 3*2 = 6 cm
height = 6 cm
Area = ½*6*6 = 6 cm²
✔️Area of the figure = 13.5 + 6 = 19.5 cm²
