Answer:
The area of tablecloth is 32.56m²
Step-by-step explanation:
Since, Ana's tablecloth have a shape of rectangle that the formula to find the measure area of cloth sewed using the formula of the area of rectangle and semicircle.
- length = 5m
- width = 4m
- radius = 2m
Finding the measure area of Ana's tablecloth,
[tex]\begin{gathered}\begin{aligned} & \bold{Formula:} \\ & \quad \boxed{\begin{array}{l} \rm{A = (length \cdot width) + \bigg(2 \cdot \frac{1}{2} \cdot \pi (r)^{2} \bigg)} \end{array}}\, \\ \end{aligned} \end{gathered}[/tex]
- [tex]\begin{gathered} \rm{A = (5m \cdot 4m) + \bigg(\bcancel{2} \cdot \frac{1}{\bcancel{2}} \cdot \pi (2m)^{2} \bigg)} \end{gathered}[/tex]
- [tex]\begin{gathered} \rm{A = \bigg(20m + 3.14(4m) \bigg)} \end{gathered}[/tex]
- [tex]\begin{gathered} \rm{A = (20m + 12.56m)} \end{gathered}[/tex]
- [tex]\begin{gathered} \rm{A = 32.56m^{2}} \end{gathered}[/tex]
