Question
a trapezoid has an area of 166.5 inches height 9 inches and one base 15 in what is the length of the other base
Answers
GPT 3.5
To find the length of the other 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 166.5 square inches, the height is 9 inches, and base1 is 15 inches, we can plug these values into the formula:
166.5 = (1/2) * (15 + base2) * 9
Simplify this equation by multiplying both sides by 2 and dividing by 9:
33 = 15 + base2
Subtracting 15 from both sides gives:
base2 = 18
Therefore, the length of the other base of the trapezoid is 18 inches.
Area = (1/2) * (base1 + base2) * height
Given that the area is 166.5 square inches, the height is 9 inches, and base1 is 15 inches, we can plug these values into the formula:
166.5 = (1/2) * (15 + base2) * 9
Simplify this equation by multiplying both sides by 2 and dividing by 9:
33 = 15 + base2
Subtracting 15 from both sides gives:
base2 = 18
Therefore, the length of the other base of the trapezoid is 18 inches.