Answer: 48
Explanation:
The length of FH is 7x + 6, but we first have to find the value of x and then substitute
When you take a close look at the figure, you will see that;
4x + 24 = 7x+6
collecting like term
24-6 = 7x - 4x (what we did is that we took 4x to the right hand side and then 6 to the left handside of the equation)
7x -4x = 24 -6 (It is still the same equation, we only change the positioning)
3x = 18
Divide both sides of the equation by 3
=
x = 6
Now we've gotten our x.
Then we now substitute x =6 in 7x +6
Length FH = 7x +6 = 7(6) + 6 = 42+6 = 48
Therefore length of FH is 48