Question

Soccer: The rules for the soccer state that the playing field must be from 100 to 120 yards long and 55 to 75 yards wide. The 1999 Women's World Cup was played at the Rose Bowl on a playing field 116 yards long and 72 yards wide. the diagram below shows the smallest possible soccer field, the largest possible soccer field, and the soccer field at the Rose Bowl.

Answer 1

Given:

b) The 1999 Women's World Cup was played at the Rose Bowl on a playing field 116 yards long and 72 yards wide.

The area is given as,

$\begin{gathered} A_1=\text{Length}\times Width \\ =116\times72 \\ =8352\text{ square yd} \end{gathered}$

The largest field have length 120 yd and width 75 yd,

The area is given as,

$\begin{gathered} A_2=Length\times Width \\ =120\times75 \\ =9000\text{ square yd} \end{gathered}$

The percentage increase is given as,

$\begin{gathered} \text{Percentage increase=}\frac{A_2-A_1}{A_1}\times100 \\ =\frac{9000-8352}{8352}\times100 \\ =\frac{648}{8352}\times100 \\ =7.7586\text{ } \\ =7.8(\text{nearest tenth of percent)} \end{gathered}$

Answer: Percentage increase is 7.8 %