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drek231 [11]
2 years ago
15

Find the area of the trapezoid. Pls explain and I will mark brainliest.

Mathematics
1 answer:
timama [110]2 years ago
8 0

Answer:

  • B. 191.4 m²

Step-by-step explanation:

Split the trapezoid as pictured below

Find its height and the upper base, then find the area of the trapezoid.

There are 3 pieces, two of them are 45°×45° and 30°×60°×90° triangles

  • The ratio of sides of a 30°×60°×90° triangle is  1 : √3 : 2
  • The legs of a 45x45 triangle are equal

<u>The above mentioned properties give us:</u>

  • h = 16/2 = 8 m
  • b = 8√3 ≈ 13.85 m
  • a = h = 8 m

<u>Now find the area:</u>

  • A = 1/2( 13 + 8 + 13.85 + 13)*8 = 191.4 m²

Correct choice is B

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