In triangle ABC; angle A = 90°, side AB = x cm, AC = (x + 5) cm and area = 150 cm². Find the sides of the triangle.

If the difference between the sides of a right angled triangle is 3 cm and its area is 54 cm²; find its perimeter.

If two adjacent sides and a diagonal of a rectangle are x, y and d respectively. The area of the rectangle is :

1. $x \times y$

2. $\dfrac{1}{2} \times\ d^2$

3. $\dfrac{1}{2} \times\ x \times d$

4. $\dfrac{1}{2} \times\ y \times d$

A square DEFG of side 8 cm is inscribed in a rectangle of adjacent sides 20 cm and 16 cm as shown in the figure.

The area of the shaded portion is :

1. 64 cm²

2. 128 cm²

3. 256 cm²

4. 320 cm²