Question

in trapezoid jklm:

• $overline{jk}=14.9$ inches
• $overline{lm}=25.9$ inches
• $overline{jn}=9.1$ inches
• $overline{jm}=10.5$ inches
• $overline{kl}=10.8$ inches

what is the area of trapezoid jklm?
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 valores de bases y altura

$b_1 = 14.9$, $b_2 = 25.9$, $h = 9.1$

Step2: Aplicar fórmula del área del trapecio

$A=\frac{1}{2}h(b_1 + b_2)=\frac{1}{2}\times9.1\times(14.9 + 25.9)$

Step3: Realizar cálculos internos del paréntesis

$14.9+25.9 = 40.8$

Step4: Multiplicar por la altura y dividir entre 2

$A=\frac{1}{2}\times9.1\times40.8 = 4.55\times40.8=185.64$

Answer:

$185.64$