MeganAndrews MeganAndrews
  • 22-05-2019
  • Mathematics
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What is the area of the trapezoid? Leave the answer in simplest radical form. The figure is not drawn to scale.

What is the area of the trapezoid Leave the answer in simplest radical form The figure is not drawn to scale class=

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sqdancefan
sqdancefan sqdancefan
  • 22-05-2019

Answer:

  • 72 ft²

Step-by-step explanation:

The bottom side length of the triangle is the difference between the top base length and the bottom base length:

  13 ft - 5 ft = 8 ft

The vertical side length of the triangle is the same, because the triangle is an isosceles right triangle.

Since we know the base lengths and height of the trapezoid, we can use the usual formula for the area:

  A = (1/2)(b1 +b2)h

  = (1/2)(5 ft + 13 ft)(8 ft) = 72 ft²

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