Buzz
The formula for calculating the area of a square trapezoid is: S = 1⁄2 h (a + b) (The area of a square trapezoid equals half the product of the sum of the two bases and the height, with the unit of area being square meters or the area of a square trapezoid equals the product of the height and the average of the two bases).
Explaining the formula:
S: Area of the trapezoid
a, b: Lengths of the two bases of the trapezoid
h: Length of the perpendicular height (which is the side perpendicular to the two bases)
Applied Exercise: Given trapezoid ABCD with a right angle at D, where AD is 10 cm, AB is 12 cm, and DC is 15 cm. Calculate the area of the trapezoid.
Solution:
The problem provides the lengths of the two bases and one side:
AB = 12 cm
AD = 10 cm
DC = 15 cm. This is the side and also the height of the trapezoid.
Thus, applying the formula for calculating the area of a square trapezoid, we have:
