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.