The height of a trapezoid is 6 in. and its area is 72 in2. One base of the trapezoid is 6 inches longer than the other base. What are the lengths of the bases? Complete the explanation of how you found your answer.
Accepted Solution
A:
Formula Area = (B1 + B2)*h/2 Area = 72 in² B1 = x B2 = x +6 h = 6 in
Substitute and Solve Area = (x + 6 + x)*6/2 = 72 Divide by 2 Area = (2x + 6)*3 = 72 Remove the brackets Area = 6x + 18 = 72 Subtract 18 6x = 72 - 18 6x = 66 Divide by 6 x = 66/6 x = 11