Find the missing base of a trapezoid that has an area measuring 348 square units, height measuring 12 units and a second base that is 20 units long. (Calculator permitted) A. 7.5 B. 10.25 C. 36.6 D. 38

Respuesta :

Answer:

[tex]38[/tex] units long

Step-by-step explanation:

The Area formula for a trapezoid is [tex]\frac{a+b}{2} h[/tex]

Where a and b are the 2 bases

We fill in what we know first

[tex]348=\frac{a+20}{2} (12)[/tex]

Divide both sides by 12

[tex]29=\frac{a+20}{2}[/tex]

Multiply both sides by 2

[tex]58=a+20[/tex]

Subtract both sides by 20

[tex]38=a[/tex]

The second base is 38 units long

I hope this helps please let me know if you have any further questions