a trapezoid has base lengths of 6 and 15 centimeters with an area of 136.5 square centimeters. What is the height of the trapezoid?
Accepted Solution
A:
•*Ok first let me show you the formula for the Area of the trapezoid. A=a+b/2 h.(I will be using the letter x for the multiplication sign)
*And here is the formula to find the height of a trapezoid h=2 x A/a+b (2 times the Area over base "a" plus base "b")
*We need to plug in the numbers: h = 2 x 136.5/6+15 *Next, we add the two bases to get 21: 6+15=21 (h=2 x 136.5) *Then, divide the total of the two bases (21) from the area to get 6.5: 136.5/21-6.5 *Finally we multiply 2 by 6.5: 2 x 6.5= 13 The height if this trapezoid is 13.