Question

Hi I don't know how to do this question

Answer 1

7 (option B)

Explanation:

the area of a trapezoid can be found using the formula:

`A = (a+b)/(2)h`

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: ??

`A = (a+b)/(2)h`

`119 = (10+24)/(2)h`

{now, simplify!}

`119 = (10+24)/(2)h` {add 10 + 24}

`119 = (34)/(2)h` {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 :)