Answer to Question #279931 in Geometry for ggggg

Question

Find the height of a trapezoid with area of 99m2

 and the bottom base is twice the top base, 

which measures 6m.

Answer 1

Calculation

• You can use the equation for the are of a trapezoid which is $\small A = \frac{1}{2}(l_1+l_2)h$ . Here $\small l$ represents the length of any base.
• If the bottom base is $\small 6\,m$ then the top base is $\small 3\,m$ .
• Upon substitution the values,

$\qquad\qquad \begin{aligned} \small 99\,m^2&=\small \frac{1}{2}(6\,m+3\,m)h\\ \small 99\times2&=\small \cancel{2}\times\frac{1}{\cancel{2}}\times(9)\times h\\ \small 99\times2\times\frac{1}{9}&=\small\frac{1}{\cancel{9}}\times \cancel{9}h\\ \small h &=\small 2 \end{aligned}$