Question

2 The area of the trapezoid below is 10.9 in. Find the height. Round to the nearest tenth if the answer is in decimal form. 2.2 In 6.6 In 4.8 in

Answer 1

area of the trapezoid

$A=\frac{B+b}{2}\cdot h$

then find the height:

$\begin{gathered} 10.9=\frac{4.8+2.2}{2}h \\ 10.9=\frac{7}{2}h \\ 10.9\times\frac{2}{7}=\frac{2}{7}\times\frac{7}{2}h \\ h=\frac{21.8}{7} \\ h=3.1 \end{gathered}$

answer: height = 3.1 in