Find the area of the shaded region given in figure.

The given question is based on the area of composite figures.

Answer: The area of the given shaded region is 28 square centimeters.

Let us find the area of the shaded region.

Explanation:

ABCD is a square of side 6 cm and AEF is a right isosceles triangle with equal sides AF and AE as 4cm. ΔAEF is inscribed in the square ABCD.

Area of square ABCD = 6² = 36 sq.cm

Area of triangle AEF = 1/2 × base × height = 1/2 × AF × AE = 1/2 × 4 × 4 = 8 sq.cm

Area of the shaded region = Area of square ABCD - Area of triangle AEF = 36 - 8 = 28 sq.cm

Thus, the area of the shaded region is 28 square centimeters.