Answer:
7.5
Step-by-step explanation:
To find the area of a trapezoid it is:
[tex]A= \frac{a+b}{2}h[/tex]
Where h is the height, b is the base, and a is the "top base," so our values are:
h = 5
b = 9
a = 6
Plug them in and solve:
[tex]A= \frac{a+b}{2}h[/tex]
[tex]A= \frac{6+9}{2}5[/tex]
[tex]A= \frac{15}{2}5[/tex]
[tex]A = (7.5)(5)[/tex]
[tex]A = 37.5[/tex]
The area of the rectangle is found by using:
[tex]A=bh[/tex] where b is the base and h is the height. So our values are:
b = 6
h = 5
Plug in and solve:
[tex]A=bh[/tex]
[tex]A=(6)(5)[/tex]
[tex]A = 30[/tex]
Subtract the rectangle from the trapezoid:
37.5 - 30 = 7.5
Answer: 7.5
Hope this heps, have a nice day :D
