Question

Find the area of the trapezoid to the nearest tenth.
plz help :(

Answer 1

Check the picture below.

`\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\ \cline{1-1} a=0.5\\ b=1.3\\ h=(1.1)/(√(2)) \end{cases}\implies A=\cfrac{(1.1)/(√(2))(0.5+1.3)}{2} \\\\\\ A=\cfrac{~~(1.1(1.8))/(√(2))~~}{(2)/(1)}\implies A=\cfrac{1.98}{2√(2)}\implies A=\cfrac{0.99}{√(2)}\implies A\approx 0.7`