Answer:
50 units²
Step-by-step explanation:
The area of a trapezoid can be found using the following formula.
[tex]A=\frac{1}{2}h(b_{1} +b_{2} )[/tex]
The height of the trapezoid is 5 units. The bases are 8 units and 12 units.
[tex]h= 5 \\b_{1} = 8\\b_{2} = 12[/tex]
Substitute the values into the formula.
[tex]A=\frac{1}{2}*5(8+12)[/tex]
Solve inside the parentheses. Add 8 and 12.
8+12=20
[tex]A=\frac{1}{2}*5(20)[/tex]
Multiply 5 and 20.
5*20= 100
[tex]A=\frac{1}{2}*100[/tex]
Multiply 1/2 and 100 or divide 100 by 2.
100 * 1/2= 50 or 100/2= 50
[tex]A= 50[/tex]
Add appropriate units. For this problem, the units are units².
[tex]A= 50 units^2[/tex]
The area of the trapezoid is 50 square units.
