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)

$\frac{4 * 3}{2}$ = $\frac{12}{2}$ = 6 (Triangle)

12 + 6 = 18 (Trapezoid)

The area of the trapezoid is 18 $units^{2}$.

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