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Find the area of the trapezoid

Find The Area Of The Trapezoid class=

Sagot :

zulabidin2007

Step-by-step explanation:

6+11÷2×8=92 area of trapezoid

AadhPrit

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]

View image AadhPrit
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