L = 3 + 2w
119 = w × ( 3 + 2w )
119 = 3w + 2w^2
2w^2 + 3w - 119 = 0
( w - 7 ) ( 2w + 11 ) = 0
w = 7
x = w
x = 7
Answer:

or

Step-by-step explanation:
we have

This is a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
Convert to vertex form
Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side.


Rewrite as perfect squares
----> equation in vertex form
or

The vertex is the point (0.25,10.5)
51/100
Explain: you start with 51/100 and that can’t be simplified any further :) hope this helped
The sum of the two bases is twice the length of the mid segment
24+x=19*2
x=14