The height of a trapezoid is 2 inches. If one base is 14 inches long and the area is 49 inches squared find the length of the other base.

I know the Area of a trapezoid is A=1/2(b1+b2)h but Idk how to apply it when working backwards

To find the length of the other base of the trapezoid, we can rearrange the formula for the area of the trapezoid.

Given:
Height (h) = 2 inches
One base (b1) = 14 inches
Area (A) = 49 square inches

The formula for the area of a trapezoid is:

A = (1/2) * (b1 + b2) * h

To find the length of the other base (b2), we can rearrange the formula:

2A = (b1 + b2) * h

Let's substitute the given values into this equation:

2 * 49 = (14 + b2) * 2

98 = 14 + b2

To isolate b2, we subtract 14 from both sides of the equation:

b2 = 98 - 14

b2 = 84

Therefore, the length of the other base (b2) is 84 inches.

Beats me