The area of the trapezium given the area of the triangle is 32.5 cm²
What is the area of the trapezium?
Area of the triangle = 24 cm²
Height = 6 cm
Base = ?
Area of a triangle = ½ × base × height
24 = ½ × b × 6
24 = 3b
Divide both sides by 3
b = 24/3
b = 8 cm
The triangle and the trapezium share one base
Area of the trapezium = ½ × h(a + b)
= ½ × 2(5 + 8)
= ½ × 2(13)
= ½ × 65
= 32.5 cm²
Therefore, 32.5 square cm is the area of the trapezium.