Answer:
a=9
Step-by-step explanation:
If you found my answer helpful please mark it brainiest
We know that the formula for area of a trapezoid is:
[tex]A=\frac{a+b}{2} h[/tex]
Where A is the area,
a is the first base
b is the second base
and h is the height
Lets plug in our known values:
[tex]30=\frac{a+3}{2}5[/tex]
Now its as simple as solving for a:
Divide both sides by 5:
[tex]\frac{30}{5}=\frac{\frac{a+3}{2}5}{5} \\\\6=\frac{a+3}{2}[/tex]
Multiply both sides by 2:
[tex]6*2=\frac{a+3}{2}*2\\12=a+3[/tex]
Subtract 3 from both sides:
[tex]12-3=a+3-3\\9=a[/tex]
