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Mila [183]
3 years ago
11

So like I need help on this,

Mathematics
1 answer:
saw5 [17]3 years ago
3 0

Answer:

  • Trapezoid with the area 16.5 unit²

Step-by-step explanation:

Plotted the given points to find out the figure is trapezoid.

<u>Area formula for trapezoid:</u>

  • A = 1/2(b₁ + b₂)h

<u>The length of the bases:</u>

  • b₁ = DE = 3 - (-1) = 4
  • b₂ = FG = 4 - (-3) = 7

<u>h is the horizontal distance between the bases:</u>

  • h = 2 - (-1) = 3

<u>The area is:</u>

  • A = 1/2(4 + 7)(3) = 16.5 unit²

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----------------------------------
Define x :
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Let the width be x.
Width = x
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Formula for Perimeter :
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Perimeter = 2 (Length + Width)

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Find Width :
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58 = 2 ( 2x + 5 + x)         // Substitute Length and Width into formula
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48 = 6x                            // Take away 10 from both sides
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Find Length and Width :
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Answer: The length is 21 ft and the width is 8 ft.
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