Question #fb1f8

1 Answer
Jan 27, 2017

Answer:

#A = l(l - 45)#

or

#A = l^2 - 45l#

Explanation:

Let's define the length of the soccer field as #l#.

The width of the soccer field can then be defined as #l - 45#

The formula for the area of a rectangle (a soccer field is assumed to be rectangular so it is valid to use this formula) is:

#A = l xx w#

Where:
#A# is the area
#l# is the length, which for this problem we have defined as #l#
#w# is the length, which for this problem we have defined as #l - 45#

Substituting our definition gives:

#A = l xx (l - 45)#

#A = (l xx l) - (l xx 45)#

#A = l^2 - 45l#