Question

The maximum length of a soccer field for international play is 80 yards longer than the maximum length of a soccer field for play by 8 ​under-​-year-olds. If the total length of these two categories of soccer fields is 160 ​yards, what is the maximum length for each​ field?

Answer 1

`\:\:\:\:\:\: \:✰`Let the maximum length of a soccer field for play by under-8-year-olds be 'x yards ' then the maximum length of a soccer field for international play will be (x + 80) yards.(For solving this problem we have to assume the soccer field as rectangular-shaped.)

As per question, the total length of these two categories of soccer fields is 160 yards. Which states -

`\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf \underline{ x + (x + 80) = 160}\\`

`\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf x + x + 80 = 160\\`

`\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf 2x + 80 = 160 \\`

`\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf 2x = 160 - 80\\`

`\:\:\:\:\:\:\:\:\:\: \:\:\:\:\:\:\longrightarrow \sf 2x = 80\\`

`\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf x = \cancel{(80)/(2)}\\`

`\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf \underline{ x = 40}\\`

• Therefore,the maximum length of a soccer field for play by under-8-year-olds is 40 yards and the maximum length of a soccer field for international play is = (x + 80) yards = 40 + 80 = 120 yards.