Answer:
[tex]\boxed{\sf{\green{68}}}[/tex] square centimeters.
Step-by-step explanation:
Here's the required formula to find the area of trapezoid :
[tex]{\longrightarrow{\pmb{\sf{A = \dfrac{b_1 + b_2}{2} \cdot \: h}}}}[/tex]
- [tex]\purple\star[/tex] A = Area
- [tex]\purple\star[/tex] b₁ = 6 cm
- [tex]\purple\star[/tex] b₂ = 11 cm
- [tex]\purple\star[/tex] h = 8 cm
Substituting all the given values in the formula to find the area of trapezoid :
[tex]{\longrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{b_1 + b_2}{2} \cdot \: h}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{6 + 11}{2} \cdot \: 8}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{17}{2} \cdot \: 8}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{17}{2} \times 8}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Trapezoid)} = \dfrac{17}{\cancel{2}} \times \cancel{8}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Trapezoid)} = 17 \times 4}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Trapezoid)} = 68}}}[/tex]
[tex]\star{\boxed{\sf{\pink{Area_{(Trapezoid)} = 68 \: {cm}^{2}}}}}[/tex]
Hence, the area of trapezoid is 68 cm².
[tex]\rule{300}{2.5}[/tex]
