Question

The area of a trapezoid is found using the formula A=1/2h(b^1+b^2), where b^1 and b^2 are the parallel sides of the trapezoid and h is the height. The area of a trapezoid is 18km^2 , with bases 5 km and 7 km. What is the height, in kilometers? PLEASE HELP I NEED THIS SOOON

Answer 1

$\bf \textit{area of a trapezoid}\\\\ A=\cfrac{1}{2}h(b_1+b_2)~~ \begin{cases} A=18\\ b_1=5\\ b_2=7 \end{cases}\implies 18=\cfrac{1}{2}h(5+7) \\\\\\ 18=\cfrac{h(12)}{2}\implies 18=6h\implies \cfrac{18}{6}=h\implies 3=h$