Answer to Question #280347 in Trigonometry 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

SOLUTION

Area of trapezoid$=\frac{a+b}{2}h$

If the bottom base is twice the top base then,

The top base is $6m$

The bottom base is $6\times2=12m$

Thus,

$99m^2=\frac{12+6}{2}h$

$99m^2=\frac{18}{2}h$

$99=9h$

$h=\frac{99}{9}$

$h=11m$

Therefore, the height of the trapezoid is 11m.