Find the length of one base of a trapezoid if the area is 126 inches squared, the height is 7 inches and the length of the other base is 15 inches.

Just plug in what you know:

If the two bases are a and b, and the height is h,

area = h(a+b)/2

126 = 7(a+15)/2

I trust you can figure out a's value from here.

To find the length of one base of the trapezoid, we can use the formula for the area of a trapezoid:

Area = (1/2) * (base1 + base2) * height

Given that the area is 126 inches squared, the height is 7 inches, and the length of the other base is 15 inches, we can substitute these values into the formula:

126 = (1/2) * (base1 + 15) * 7

Next, we can simplify the equation by multiplying both sides by 2 to eliminate the fraction:

252 = (base1 + 15) * 7

Divide both sides of the equation by 7 to isolate the expression inside the parentheses:

base1 + 15 = 36

Finally, subtract 15 from both sides to solve for the length of one base:

base1 = 36 - 15

base1 = 21 inches

Therefore, the length of one base of the trapezoid is 21 inches.