Answer:
69 3/10 square meters
Step-by-step explanation:
Given the expression:
![16(1)/(2)*4(1)/(5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/gjbg29g7h0o5qg73fs9h761zgqjpmjjpaa.png)
First, change each mixed fraction to an improper fraction:
To change a mixed fraction, multiply the denominator by the whole number, add the numerator:
![\begin{gathered} 16(1)/(2)=(2*16+1)/(2)=(33)/(2) \\ 4(1)/(5)=(5*4+1)/(5)=(21)/(5) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/76alh5rmmwalhst5im76ub1xb4p34yx0b8.png)
Thus, the expression becomes:
![=(33)/(2)*(21)/(5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/tj57b0ko4viad6r493e75esxbn76j16iw8.png)
Next, multiply the numerators and denominators:
![\begin{gathered} =(33*21)/(2*5) \\ =(693)/(10) \\ =69(3)/(10)m^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/7mmo86qgy72d7fnvihrf3cvyc8gf6oey7c.png)