The height of a trapzoid is 4 in. and its area is 40 in2. One base of the trapzoid is 6 inches longer than the other base. What are the lengths of the bases? Complete the explanation of how you found your answer.
+128473 Let one base be = B
Let the other be = B + 6
Area of a trapezoid =
(1/2) height * ( sum of bases) .....so we have....
40 = (1/2) (4) * ( B + B + 6)
40 = 2 (2B+6) divide both sides by 2
20 = 2B + 6 subtract 6 from both sides
14 = 2B divide both sides by 2
7 = B = one base
And the other base = B + 6 = 7 + 6 = 13
