Answer:
7 (option B)
Step-by-step explanation:
the area of a trapezoid can be found using the formula:
[tex]A = \frac{a+b}{2}h[/tex]
where
A: area
a: base
b: other base
h: height
here, we can plug in our known variables to solve for h (height)
A: 119
a: 10
b: 24
h: ??
[tex]A = \frac{a+b}{2}h[/tex]
[tex]119 = \frac{10+24}{2}h[/tex]
{now, simplify!}
[tex]119 = \frac{10+24}{2}h[/tex] {add 10 + 24}
[tex]119 = \frac{34}{2}h[/tex] {divide 34 by 2}
119 = 17 · h
119 = 17 · h
÷ 17 ÷17 {divide both sides by 17to isolate h}
7 = h
So, the height (h) of this trapezoid is 7
hope this helps! have a lovely day :)
