Find the area (in cm2) of the figure ABCDEF when all its sides are perpendicular to their adjacent sides.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 30.5
All the corners are right angles, so a line from E parallel to AB splits the figure into two rectangles, and the area is the sum of their areas.
Upper rectangle (length AB, height AF): \(9\times2=18\,\mathrm{cm^2}\)
Height of the lower rectangle \(=\) BC \(-\) AF \(=4.5-2=2.5\,\mathrm{cm}\)
Lower rectangle (length DC): \(5\times2.5=12.5\,\mathrm{cm^2}\)
Area of ABCDEF \(=18+12.5=30.5\,\mathrm{cm^2}\)
