Question

The height of a trapezoid is 1/4 the sum of the lengths of its bases. The height is 2 1/2 feet. Find the area if the trapezoid.

Answer 1

Answer:

Step-by-step explanation:

(1/4)*sum of lengths of bases = Height of trapezoid

(1/4)*(a + b) = 2 1/2

$\frac{1}{4}*(a+b)=\frac{5}{2}\\\\a+b=\frac{5}{2}*\frac{4}{1}\\\\a+b=5*2\\\\a+b=10$

$Area=\frac{(a+b)*h}{2}\\\\=\frac{10*\frac{5}{2}}{2}\\\\=\frac{5*5}{2}\\\\=\frac{25}{2}$

= 12.5 ft²