Question

you see a sailboat on tv. the side of the boat is a trapezoid.
in trapezoid boat:

• $overline{ta}=4.2$ feet
• $overline{bo}=8.4$ feet
• $overline{st}=3.5$ feet
• $overline{oa}=3.7$ feet
• $overline{tb}=4.6$ feet

what is the area of trapezoid boat?
use the given information to complete the worksheet.
area formulas:

• parallelogram: $a = bh$
• square: $a = s^{2}$
• triangle: $a=\frac{1}{2}bh$
• trapezoid: $a=\frac{1}{2}h(b_{1}+b_{2})$

Explanation:

Step1: Identificar bases y altura

La base mayor $b_1 = 8.4$ pies, la base menor $b_2 = 4.2$ pies y la altura $h = 3.5$ pies.

Step2: Aplicar fórmula del área del trapecio

Usamos la fórmula $A=\frac{1}{2}h(b_1 + b_2)$. Sustituimos los valores: $A=\frac{1}{2}\times3.5\times(8.4 + 4.2)$.

Step3: Realizar cálculos internos

Primero sumamos dentro del paréntesis: $8.4+4.2 = 12.6$. Luego multiplicamos: $\frac{1}{2}\times3.5\times12.6= 22.05$.

Answer:

22.05 square feet