Find the area of the shaded region of the diagram, where ACDF is a rectangle, AC - 90 cm, AF - CD - 20 cm and ED = 10 cm
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 1000 cm2.
AC = 90 cm
ED = 10 cm
So, FE = FD - ED = 90 - 10 = 80 cm [FD = AB]
AF = CD = 20 cm
In triangle FBE = 1/2 × FE × AF = 1/2 × 80 × 20 = 80 × 10 = 800 cm2
Area of rectangle ACDF = AC × AF = 90 × 20 = 1800 cm2
Area of shaded region = 1800 - 800 = 1000 cm2