Find the altitude of a trapezium if the length of two bases are 4.6 cm and 2.4 cm respectively. The area of the trapezium is 42 cm²?

Find the altitude of a trapezium if the length of two bases are 4.6 cm and 2.4 cm respectively. The area of the trapezium is 42 cm²?

Explanation

Given:

Area = 42 cm²

Bases: a = 4.6 cm, b = 2.4 cm

Area formula: Area = (1/2) × (a + b) × h

42 = (1/2) × (4.6 + 2.4) × h

42 = (1/2) × 7 × h

42 = 3.5 × h

h = 42 / 3.5

h = 12