The lengths of the diagonals of a rhombus are $16 \mathrm{cm}$ and $12 \mathrm{cm}$ respectively. Find the length of each of its sides.

In the given figure, $ABCD$ is a square. Find the measure of $\angle CAD$.

The sides of a rectangle are in the ratio $5:4$ and its perimeter is $90 \mathrm{cm}$. Find its length and breadth.

Name the following parallelogram.

The diagonals are equal and the adjacent sides are unequal.

Name the following parallelogram.

The diagonals are equal and the adjacent sides are equal.

Name the following parallelogram.

The diagonals are unequal and the adjacent sides are equal.

Name the following parallelogram.

All the sides are equal and one angle is $60°$.

Name the following parallelogram.

All the sides are equal and one angle is $90°$.

Are diagonals of a parallelogram are equal?