In the adjoining figure, a rectangle has dimensions of 18 cm × 12 cm. The area of the parallelogram (shaded portion) is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 156 cm2
The area of a parallelogram is base × height. Its base lies along the bottom of the rectangle, and its height is the full 12 cm of the rectangle, because its top and bottom sides lie on the top and bottom of the rectangle.
Base \(=18-5=13\) cm (the bottom side minus the 5 cm left unshaded)
Height \(=12\) cm
Area \(=13\times12=156\,\mathrm{cm^2}\)