Answer:
The length of other base is 30 in.
Step-by-step explanation:
Given:
A trapezoid has an area of 184 in^2. The height is 8 in and the length of one base is 16 in.
Now, to get the length of other base.
Let the length of other base be [tex](b).[/tex]
Area of trapezoid [tex](Area)[/tex] = 184 in².
Height of trapezoid ([tex]h[/tex]) = 8 in.
Length of one base (a) = 16 in.
Now, to get the length of other base of trapezoid we solve an equation:
[tex]Area=\frac{(a+b)}{2} h[/tex]
[tex]184=\frac{(16+b)}{2}\times 8[/tex]
[tex]184=(16+b)\times 4[/tex]
[tex]184=64+4b[/tex]
Subtracting both sides by 64 we get:
[tex]120=4b[/tex]
Dividing both sides by 4 we get:
[tex]30=b\\\\b=30\ in.[/tex]
Therefore, the length of other base is 30 in.
