A soccer

A soccer field (football pitch) has a length of 101.8 m and a width of 69.8 m. Find the total area of the field in square meters (m2) and convert this measurement to square yards (yd2). Use the fact that 1 yard = 0.9144 m. Round your answer to the nearest whole number

Correct answer:

A =  7105.64 m²
S =  5941.22 yd²

Step-by-step explanation:

$$\begin{gathered} a=101.8\text{m} \\ b=69.8\text{m} \\ A=a\cdot b=101.8\cdot 69.8=7105.64{\text{m}}^2 \end{gathered}$$

$$\begin{gathered} k=1/0.9144\doteq 1.0936\text{yd/m} \\ S=A/k^2=7105.64/1.0936^2=5941.22{\text{yd}}^2 \end{gathered}$$

Try another example