如何找到梯形的面积？
测量是一门涉及测量 2D 和 3D 对象的面积、长度和体积的几何学科。 2D 对象，如正方形、矩形、三角形、圆形等，可以在平面上绘制，而 3D 形状，如砖块、冰淇淋锥、足球等，则不能。测量是一种涉及使用数学公式和代数方程的计算。
梯形
梯形是只有一组平行边的多边形。这些平行边也称为梯形平行底。梯形的其他两侧不平行，称为梯形腿。
梯形公式的面积
要计算梯形的面积，知道它的两条平行边的长度和它们之间的距离（高度）就足够了。梯形的面积 (A) 由下式给出，
A = ½ (a + b) h
Where a and b are its parallel bases and h is the perpendicular distance between a and b.
推导
The trapezoid is reorganized as a triangle in this manner. The preceding diagram clearly shows that the areas of the trapezoid and triangle are the same. In addition, we can observe that the triangle’s base is (a + b) and its height is h.
Here, area of trapezoid (A) = area of triangle
A = ½ × base × height
A = ½ (a + b) h
示例问题
问题 1：求底长 10 单位和 15 单位，高 8 单位的梯形面积。
解决方案：
Given, a = 10, b = 15 and h = 8.
Hence, the area of trapezoid is,
A = 1/2 (a + b) h
= 1/2 (10 + 15) 8
= 100 sq. units
问题 2：求底长为 12 个单位和 18 个单位，高为 16 个单位的梯形面积。
解决方案：
Given, a = 12, b = 18 and h = 16.
Hence, the area of trapezoid is,
A = 1/2 (a + b) h
= 1/2 (12 + 18) 16
= 240 sq. units
问题 3：求底长为 5 个单位和 7 个单位，高为 8 个单位的梯形面积。
解决方案：
Given, a = 5, b = 7 and h = 8.
Hence, the area of trapezoid is,
A = 1/2 (a + b) h
= 1/2 (5 + 7) 8
= 48 sq. units
问题 4：求底长 4 个单位和 8 个单位，高 12 个单位的梯形面积。
解决方案：
Given, a = 4, b = 8 and h = 12.
Hence, the area of trapezoid is,
A = 1/2 (a + b) h
= 1/2 (4 + 8) 12
= 72 sq. units
问题 5：求底长为 6 个单位和 10 个单位，高为 14 个单位的梯形面积。
解决方案：
Given, a = 6, b = 10 and h = 14.
Hence, the area of trapezoid is,
A = 1/2 (a + b) h
= 1/2 (6 + 10) 14
= 112 sq. units
问题 6：求底长为 8 个单位和 10 个单位，高为 6 个单位的梯形面积。
解决方案：
Given, a = 8, b = 10 and h = 6.
Hence, the area of trapezoid is,
A = 1/2 (a + b) h
= 1/2 (8 + 10) 6
= 54 sq. units
问题 7：求底长 8 个单位和 10 个单位，高 12 个单位的梯形面积。
解决方案：
Given, a = 8, b = 10 and h = 12.
Hence, the area of trapezoid is,
A = 1/2 (a + b) h
= 1/2 (8 + 10) 12
= 108 sq. units