Question

A parallelogram and a triangle have equal areas. the base and height of the parallelogram are 12 cm and 9 cm. if the base of the triangle is 36 cm, find its height

Answer 1

Area of parallelogram = base x height

                                    = 12 x 9

                                    = 108

Area of a triangle = $\frac{1}{2}$ · base · height

                     108 = $\frac{1}{2}$ · 36 · height

                      108 = 18 · height

                         6 = height

Answer: 6 cm