Question

What is the area of the trapezoid shown below?
units2

Answer 1

Answer and Step-by-step explanation:

Use the Pythagorean Theorem to solve for the height.

`a^(2)+ b^(2)= c^(2) \\\\\\4^(2) + b^(2) = 5^(2)\\\\\\16 + b^(2) = 25\\\\\\b^(2) = 9\\\\\\b = 3`

The height of the triangle is 3.

Now we can solve the shapes in the trapezoid.

4 times 3 = 12 (Rectangle)

`(4 * 3)/(2)` =
`(12)/(2)` = 6 (Triangle)

12 + 6 = 18 (Trapezoid)

The area of the trapezoid is 18
`units^(2)`.

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