Question

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

Answer 1

Greetings

Answer:

The other base is 8 feet.

Step-by-step explanation:

You need to recall the area of a trapezoid equation:

$\frac{a + b}{2} * h$

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

60 ÷ 6 = $\frac{a + b}{2}$ = 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!