A rectangle has its longer side 2 cm greater than its shorter side. Its area is 80 $cm^2$. Find the perimeter of the rectangle (in cm).

Consider the following statements:

Which is/are true?

(A) The sum of any two sides of a triangle is greater than the third side.

(B) The median of a triangle divides it into two triangles of equal area.

(C) The diagonals of a parallelogram bisect each other.

(D) The diagonals of rhombus are equal and bisect each other.

Choose the correct answer from the options given below:

The side of the square is

If two adjacent angles of a parallelogram are $(2x + 30)^\circ$ and $(3x - 15)^\circ$. Then the value of x is:

If each side of a square is increased by 40%, find the percentage change in its area.

Consider the area of the following solids:

(A) A rhombus whose diagonals are 48 cm and 20 cm long.

(B) A trapezium with parallel sides 9.7 cm and 6.3 cm, and the distance between them is 6.5 cm.

(C) A parallelogram with a base equal to 25 cm and the corresponding height measuring 16.8 cm.

(D) A rhombus, whose diagonals are 30 cm and 16 cm.

Arrange the above in ascending order.

Choose the correct answer from the options given below:

The diagonal of a square is $4\sqrt{2}$ cm. The diagonal of another square whose area is double that of the first square, is: