ipulido8
ipulido8 ipulido8
  • 09-04-2022
  • Mathematics
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What is the total area, in square inches, of the shaded sections of the trapezoid below?

What is the total area in square inches of the shaded sections of the trapezoid below class=

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fieryanswererft
fieryanswererft fieryanswererft
  • 09-04-2022

Answer:

64.5 in²

Explanation:

[tex]\sf area \ of \ trapezoid = \dfrac{1}{2} * ( a + b) *h[/tex]

Solve for the entire trapezoid:

[tex]\hookrightarrow \sf \dfrac{1}{2} * ( 6.5 +(9.8+5.2+6.5) ) *8.6[/tex]

[tex]\hookrightarrow \sf 120.4 \ in^2[/tex]

Solve for the unshaded rectangle:

  • Length * Width
  • 6.5 * 8.6
  • 55.9 in²

Area of the shaded region:

  • 120.4 in² - 55.9 in²
  • 64.5 in²
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