Question

find the area of the figure. round to the nearest tenth, if necessary. 6 m 8 m 5 m 2.5 m 2.5 m 10 m m²

Explanation:

Step1: Calculate trapezoid area

The formula for the area of a trapezoid is $A_{t}=\frac{(a + b)h}{2}$, where $a = 6m$, $b = 10m$, and $h = 8m$. So $A_{t}=\frac{(6 + 10)\times8}{2}=64m^{2}$.

Step2: Calculate triangle area

The formula for the area of a triangle is $A_{tri}=\frac{1}{2}bh$, where $b=5m$ and $h = 5m$. So $A_{tri}=\frac{1}{2}\times5\times5 = 12.5m^{2}$.

Step3: Calculate shaded - area

Subtract the area of the triangle from the area of the trapezoid. $A=A_{t}-A_{tri}=64 - 12.5=51.5m^{2}$.

Answer:

$51.5$