Answer and Step-by-step explanation:
Use the <u>Pythagorean Theorem </u>to solve for the <em>height</em>.
![a^{2}+ b^{2}= c^{2} \\\\\\4^{2} + b^{2} = 5^{2}\\\\\\16 + b^{2} = 25\\\\\\b^{2} = 9\\\\\\b = 3](https://tex.z-dn.net/?f=a%5E%7B2%7D%2B%20b%5E%7B2%7D%3D%20c%5E%7B2%7D%20%5C%5C%5C%5C%5C%5C4%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3D%205%5E%7B2%7D%5C%5C%5C%5C%5C%5C16%20%2B%20b%5E%7B2%7D%20%3D%2025%5C%5C%5C%5C%5C%5Cb%5E%7B2%7D%20%20%3D%209%5C%5C%5C%5C%5C%5Cb%20%3D%203)
The height of the triangle is 3.
Now we can solve the shapes in the trapezoid.
4 times 3 = 12 (Rectangle)
=
= 6 (Triangle)
12 + 6 = 18 (Trapezoid)
The area of the trapezoid is 18
.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>