efonebshs efonebshs
  • 20-08-2021
  • Mathematics
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Please answer the question above!

Please answer the question above class=

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theleangreenbean
theleangreenbean theleangreenbean
  • 20-08-2021

Answer:

B) [tex]A=4x+8[/tex]

Step-by-step explanation:

Hi there!

Area of a trapezoid: [tex]A=\displaystyle\frac{1}{2}h(b_1+b_2)[/tex]

⇒ b₁ = x-3

⇒ b₂ = x+7

⇒ h = 4

Plug the given information into the equation:

[tex]A=\displaystyle\frac{1}{2}(4)[(x-3)+(x+7)]\\\\A=\displaystyle\frac{1}{2}(4)(x-3+x+7)\\\\A=2(2x+4)\\\\A=4x+8[/tex]

Therefore, the area of the trapezoid is [tex]4x+8[/tex].

I hope this helps!

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