Question

A football field is 120 yd long and 50 yd wide. what is the area of the football field in m2 ? (1yd=91.44 cm)

Answer 1

To calculate the area of the football field in square meters, we convert the field's dimensions from yards to meters using the conversion of 1 yard = 0.9144 meters, and then multiply the length by the width to get 5014.81696 m².

Step-by-step explanation:

To find the area of the football field in square meters, we must first convert the dimensions from yards to meters. Given that the length of an American football field is 120 yards and the width is 50 yards, we can use the conversion factor where 1 yard = 0.9144 meters (since 1 yard = 91.44 cm).

The length in meters is: 120 yd × 0.9144 m/yd = 109.728 m
The width in meters is: 50 yd × 0.9144 m/yd = 45.72 m

Now that we have both dimensions in meters, we can calculate the area:

Area = Length × Width
Area = 109.728 m × 45.72 m
Area = 5014.81696 m²

Therefore, the area of the football field is 5014.81696 square meters.

Answer 2

In this case, you are asked to bring the area with m2 unit but the length(120yd) and width(50yd) are in yd. Then, you need to convert the unit into m2. The formula of rectangle area should be length * width.

So, the equation should be:
area = length * width= (120yd * 91.44cm/yd * 1m/100cm) * (50yd * 91.44cm/yd * 1m/100cm) = 5016.76 m2