Find the area of the shaded region 8 cm 8 cm 6 cm 8 cm 6 cm

Find the area of the shaded region. 8 cm 8 cm 6 cm 8 cm 6 cm (a trapezoid within a triangle)

Solution

Area of Shaded Region = Area of triangle - Area of the trapezoid = (1/2) * base * height - (1/2) * height (of trapezoid) * (Sum of parallell sides)

Base of triangle = 8 + 6 = 14cm, height of triangle = 8+ 6 = 14cm

Height of trapezoid = 6cm and the parallel sides lengths are 8cm and 6cm.

Area = (1/2) * 14 * 14 - (1/2) * 6 * (8+6) = 98 - 42 = 56 cm².