Answer:
[tex]12.5 \ ft^2[/tex]
Step-by-step explanation:
Given that height is a quarter the sum of bases and that the height is 2.5ft.
The sum of bases is calculated as:
[tex]h=\frac{1}{4}\sum{b_i}=2.5\\\\\sum{b_i}=2.5\times 4\\\\\sum{b_i}=b_1+b_2=10\ ft[/tex]
#Having that (b1+b2=10 ft), we can now calculate the area using the given formula using the given figures:
[tex]A=\frac{1}{2}\times 2.5\times (b_1+b_2), b_1+b_2=10\\\\=\frac{1}{2}\times 2.5\times10\\\\=12.5[/tex]
Hence, the area of the trapezoid is 12.5 sq ft
*Using the h=2.5ft and the [tex]A=\frac{1}{2}h(b_1+b_2)[/tex]
