The rectangle has dimensions 18 cm × 12 cm. The shaded region is a parallelogram, and the unshaded portions are triangles.
Rectangle Area =18×12
=216 cm²
From the figure, the unshaded portions form triangles around the parallelogram.
Using the measurements from the figure, the total area of these triangles can be calculated using 21×base×height for each triangle.
Total Unshaded Area =60 cm²
The parallelogram area equals the rectangle area minus the unshaded area.
Parallelogram Area =216−60
=156 cm²
Therefore, the area of the parallelogram is 156 cm².