Page 682 - Basic College Mathematics with Early Integers

S E C T I O N 9.4 I AREA 659

There are a number of factors that determine the dimensions of a rectangular soccer field. Use the table below to answer
Exercises 67 and 68.

Soccer Field Width and Length
Endline
Age Width Min–Max Length Min–Max
Center
Penalty circle Under 6/7: 15–20 yards 25–30 yards
Goal box arc Under 8: 20–25 yards 30–40 yards
Penalty
kick Under 9: 30–35 yards 40–50 yards
mark
Under 10: 40–50 yards 60–70 yards
Goal Under 11: 40–50 yards 70–80 yards
box Penalty
Halfway line box Under 12: 40–55 yards 100–105 yards
Under 13: 50–60 yards 100–110 yards
Corner arc Sideline International: 70–80 yards 110–120 yards

67. a. Find the minimum length and width of a soccer 68. a. Find the maximum length and width of a soccer
field for 9-year-old children. (Carefully consider field for 11-year-old children.
the age.)
b. Find the area of this field. b. Find the area of this field.

69. Do two rectangles with the same perimeter have the same area? To see, find the perimeter and the area
of each rectangle.

6 in.
3 in.
11 in.
8 in.