Answer:
Step-by-step explanation:
(1/4)*sum of lengths of bases = Height of trapezoid
(1/4)*(a + b) = 2 1/2
[tex]\frac{1}{4}*(a+b)=\frac{5}{2}\\\\a+b=\frac{5}{2}*\frac{4}{1}\\\\a+b=5*2\\\\a+b=10[/tex]
[tex]Area=\frac{(a+b)*h}{2}\\\\=\frac{10*\frac{5}{2}}{2}\\\\=\frac{5*5}{2}\\\\=\frac{25}{2}[/tex]
= 12.5 ft²
