A soccer field is rectangular in shape and is 100 meters long and 75 meters wide. The hectare is a metric unit of are often used to measure larger areas. Given that 1 hectare = 10000 meters2, which of the following represents the soccer field’s are in hectares?
A.
0.75 hectares
B.
7.5 hectares
C.
7,500 hectares
D.
75,000,000 hectares
To determine the area of the soccer field in hectares, follow these steps:
Step 1: Calculate the area of the soccer field in square meters
The area of a rectangle is calculated as:Area=Length×Width\text{Area} = \text{Length} \times \text{Width}Area=Length×Width Area=100 meters×75 meters=7500 square meters\text{Area} = 100 \text{ meters} \times 75 \text{ meters} = 7500 \text{ square meters}Area=100 meters×75 meters=7500 square meters
Step 2: Convert the area from square meters to hectares
Since 1 hectare equals 10,000 square meters, divide the area in square meters by the number of square meters per hectare:Area in hectares=Area in square meters10,000\text{Area in hectares} = \frac{\text{Area in square meters}}{10,000}Area in hectares=10,000Area in square meters Area in hectares=750010,000=0.75 hectares\text{Area in hectares} = \frac{7500}{10,000} = 0.75 \text{ hectares}Area in hectares=10,0007500=0.75 hectares
Final Answer:
A. 0.75 hectares
So, the soccer field’s area is 0.75 hectares.