Exercise 27 Page 648

Now we want find the difference between the area of the soccer field and the area of the lacrosse field in square feet. To do so, we will use the dimensions of these fields in feet that we calculated in Part A.

Sport	Length (feet)	Width (feet)
Field hockey	$180$	$300$
Football	$160$	$360$
Lacrosse	$180$	$330$
Soccer	$210$	$345$

The soccer field has a length of $210$ feet and a width of $345$ feet. We can calculate the area of the soccer field by multiplying its length by its width. The lacrosse field has a length of $180$ feet and a width of $330$ feet. Similar as before, let's calculate the area of the lacrosse field. Since we found the areas of the two fields in square feet, we can calculate the difference between them. Therefore, the difference between the area of the soccer field and the area of the lacrosse field is $13050$ square feet.

We are asked to find the area of all four fields combined in acres. Let's start by calculating the area of each field in square feet using the table from Part B.

Sport	Length (feet)	Width (feet)	Area (square feet)
Field hockey	$180$	$300$	$180\cdot 300=54000$
Football	$160$	$360$	$160\cdot 360=57600$
Lacrosse	$180$	$330$	$180\cdot 330=59400$
Soccer	$210$	$345$	$210\cdot 345=72450$

Next, we will find the sum of the areas that we got in square feet. The area of all four fields combined is $243450$ square feet. Finally, we will find the area in acres. Recall that $1$ acre is equal to $43560$ square feet. This means that we need to divide the area in square feet by $43560$ to get the area in acres. Therefore, all four fields combined have the area of about $5.6$ acres.