College

Find the missing base of a trapezoid that has an area of 348 square units, a height of 12 units, and a second base that is 20 units long. (Calculator permitted)

A. 7.5
B. 10.25
C. 36.6
D. 38

Answer :

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

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