One of the bases of a trapezoid has length 10, and the height of the trapezoid is 4. If the area of the trapezoid is 48, then how long is the other base of the trapezoid?
+28 The area of a trapezoid is (b1+b2)/2 * h, where b1 and b2 are the two bases and h is the height. In other words, the area is the average of the bases of the trapezoid multiplied by the height of the trapezoid. From the information given, we can solve for the other base by plugging the other values into the equation of the area of a trapezoid. (10+x)/2 * 4 = 48. Divide both sides by 4: (10+x)/2=12, multiply both sides by 2: (10+x)=24, subtract both sides by 10: x=14. This means that the measure of the other base of the trapezoid is 14.
