areonnabonner3
areonnabonner3 areonnabonner3
  • 10-06-2019
  • Mathematics
contestada

Find the area of the trapezoid

Find the area of the trapezoid class=

Respuesta :

frika
frika frika
  • 10-06-2019

Answer:

C. [tex]52\sqrt{3}\ ft^2[/tex]

Step-by-step explanation:

Use formula for the area of trapezoid

[tex]A=\dfrac{a+b}{2}\cdot h,[/tex]

where a is the smaller base, b is the larger base and h is the height.

From the diagram,

[tex]a=11\ ft\\ \\b=15\ ft\\ \\h=4\sqrt{3}\ ft[/tex]

So, the area of trapezoid is

[tex]A=\dfrac{11+15}{2}\cdot 4\sqrt{3}=13\cdot 4\sqrt{3}=52\sqrt{3}\ ft^2[/tex]

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