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Naddika [18.5K]
3 years ago
11

What is the area of the trapezoid shown below?​

Mathematics
2 answers:
Olin [163]3 years ago
7 0

Answer:

78 sqr units

Step-by-step explanation:

Use the Pythagorean Theorem to help find the base opposite the two.

The base of the second parallel line is sqrt(  (15^2) - (12^2)  ) = sqrt(81) = 9

The second base = 9 + 2 = 11

Area = (b1 + b2)*h/2

h = 12

b1 = 2

b2 = 11

h = 12

Area = (11 + 2)*12/2

Area = 13 * 12/2

Area = 78 square units

Murljashka [212]3 years ago
3 0
The answer is seventy eight square units
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Solution:

<u>Note that:</u>

  • AB = EF
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<u>Solving for x:</u>

  • 7x - 19 = 2x + 11
  • => 7x - 2x = 19 + 11
  • => 5x = 30
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<u>Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8): </u>

  • 24 + 2x + 11 + 6x - 8
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The perimeter of the triangle ABC is 75 units.

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2 years ago
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