Start by finding the area of all four fields combined in square feet.
A
54 000 square feet
B
13 050 square feet
C
about 5.6 acres
Practice makes perfect
Let's start by expressing the length and the width of each field in feet. Recall that 1 yard is equal to 3 feet. Therefore, to get the length and the width of each field in feet, we need to multiply each value in the given table by 3.
Sport
Length (yards)
Length (feet)
Width (yards)
Width (feet)
Field hockey
60
60( 3) = 180
100
100( 3) = 300
Football
53 13
53 13( 3) = 160
120
120( 3) = 360
Lacrosse
60
60( 3) = 180
110
110( 3) = 330
Soccer
70
70( 3) = 210
115
115( 3) = 345
We want to find the area of the field hockey field in square feet. To do so, we need to multiply the field's length by its width. We can see that the length of the field is 180 feet and the width is 300 feet. Let's calculate the area of the field!
180 * 300 = 54 000
We got that the area of the field hockey field is 54 000 square feet.
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.
210 * 345 = 72 450
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.
180 * 330 = 59 400
Since we found the areas of the two fields in square feet, we can calculate the difference between them.
72 450 - 59 400 = 13 050
Therefore, the difference between the area of the soccer field and the area of the lacrosse field is 13 050 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* 300 = 54 000
Football
160
360
160* 360 = 57 600
Lacrosse
180
330
180* 330 = 59 400
Soccer
210
345
210* 345 = 72 450
Next, we will find the sum of the areas that we got in square feet.
54 000 + 57 600 + 59 400 + 72 450 = 243 450
The area of all four fields combined is 243 450 square feet. Finally, we will find the area in acres. Recall that 1 acre is equal to 43 560 square feet. This means that we need to divide the area in square feet by 43 560 to get the area in acres.
243 450/43 560 = 5.588... ≈ 5.6
Therefore, all four fields combined have the area of about 5.6 acres.
