A rectangle with sides 8 cm × 6 cm and a rhombus (side = 8 cm, acute angle 60°) are joined along an 8 cm side. What is the ratio of their areas (Rectangle : Rhombus)?
Show answer & explanation
Correct answer: C
Explanation
Rectangle: 8 × 6
Rhombus: Side = 8, Angle = 60°
Area of Rectangle = l × b
Area of Rectangle = 8 × 6 = 48
Area of Rhombus = a² sinθ
Area of Rhombus = 8² × sin60° = 32√3
Rectangle : Rhombus = 48 : 32√3 = √3 : 2