Mathematics

A trapezoid's area depends on both parallel sides working together—think of it as the "average width" times the height. The key insight is that the two parallel bases contribute equally to the total area, so you take their average and multiply by how tall the trapezoid is. This formula $A = \frac{1}{2}(b_1 + b_2)h$ captures exactly that idea.

A trapezoid's area depends on both parallel sides working together—think of it as the "average width" times the height. The key insight is that the two parallel bases contribute equally to the total area, so you take their average and multiply by how tall the trapezoid is. This formula $A = \frac{1}{2}(b_1 + b_2)h$ captures exactly that idea.