The area of a trapezoid is 60 square feet its height is 6 feet and one base is 12 feet.Find the number of feet in the other base

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Answer:

The other base is 8 feet.

Step-by-step explanation:

You need to recall the area of a trapezoid equation:

[tex]\frac{a + b}{2} * h[/tex]

We need to work back, so we need to divide the area by 6:

60 ÷ 6 = [tex]\frac{a + b}{2}[/tex] = 10

Then we need to multiply this by two to find a + b value:

10 x 2 = a + b

20 = a + b

Beause we know the value of a, which is 12, we can factor this in:

20 = 12 + b

Move the +12 over to the other side, making it a negative:

20 - 12 = b

8 = b

So the other base is 8 feet!


Hope this helps!

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