jasonmcp71tfb jasonmcp71tfb
  • 21-07-2018
  • Mathematics
contestada

Find the area????????

Find the area class=

Respuesta :

gmany
gmany gmany
  • 21-07-2018

Look at the picture.


We have two congruent trapezoids.


The formula of an area of trapezoid is:


[tex]A_T=\dfrac{b_1+b_2}{2}\cdot h[/tex]


[tex]b_1,\ b_2[/tex] - base

[tex]h[/tex] - height



[tex]b_1=11\\b_2=5\\h=3[/tex]


substitute:


[tex]A_T=\dfrac{11+5}{2}\cdot3=\dfrac{16}{2}\cdot3=8\cdot3=24\ units^2[/tex]


The area of the polygon is equal:


[tex]A=2A_T\to A=2\cdot24=48\ units^2[/tex]


Answer: b. 48 units²

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