![]() Together, 12 books are being held by 3 people. So, 12 books ÷ 3 people = an average of 4 books each. Multiplying times 1 2 is the same as dividing by 2. We take half the sum of the length of the two bases (their average) and then multiply that by the altitude, or height, to find the area in square units. Trapezoid L M N O has parallel bases L M and N O. Line segment L M is 7 cm long, and line segment N O is 13 cm long. The height, h, is 5 cm.įirst, let's plug these numbers into our formula: We will label longer side N O as a and shorter side L M as b. The area of this trapezoid is 50 square centimeters. ![]() Now you try it! Another trapezoid has a long base a, 11 meters, and a shorter base b, 7 meters. What is the area in square meters?ĭid you get 81 square meters? Your answer for area is always in square units of the linear measurement. ![]() So a trapezoid measured in feet gives an area in square feet, centimeters yield square centimeters, and so on. ![]() So, with trapezoid L M N O, you could also have written the formula like:Ī r e a = 1 2 × 9 × ( 11 + 7 ) Example #2 Remember that multiplying by ½ is the same as dividing by 2, so you can add the lengths of the bases and then divide their sum by two, if that is easier for you.īecause of the commutative property of multiplication, you can rearrange these three numbers, 1 2, altitude h, and the length of bases a + b, in any order to make the calculation easy. The new trapezoid is upside down from how you usually see them, but don't let that stop you! The short base b is 21 inches long. ![]()
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