Find the altitude of a trapezium if the length of two bases are 5.6 cm and 2.9 cm respectively. The area of the trapezium is 42 m²?

Find the altitude of a trapezium if the length of two bases are 5.6 cm and 2.9 cm respectively. The area of the trapezium is 42 m²?

Explanation

Given:

Area = 42 cm² (assuming the unit is consistent, but it's given as m² which seems incorrect given the base lengths are in cm. Let's proceed with cm² for calculation purposes)

Bases:

a = 5.6 cm

b = 2.9 cm

Formula:

Area = ((a + b) / 2) × height

42 = ((5.6 + 2.9) / 2) × height

42 = (8.5 / 2) × height

42 = 4.25 × height

height = 42 / 4.25

height = 9.88 cm