Find the area of an isosceles triangle each of whose equal sides is $13 \mathrm{cm}$ and whose base is $24 \mathrm{cm}$.

The longer side of a rectangular hall is $24 \mathrm{m}$ and the length of its diagonal is $26 \mathrm{m}$. Find the area of the hall.

The length of the diagonal of a square is $24 \mathrm{cm}$. Find its area.

Find the area of a rhombus whose diagonals are$48 \mathrm{cm}$ and $20 \mathrm{cm}$ long.

A lawn is in the form of a rectangle whose sides are in the ratio$5:3$and its area is $3375 {\mathrm{m}}^2$. Find the cost of fencing the lawn at $₹20$ per metre.

Find the area of a rhombus each side of which measures $20 \mathrm{cm}$ and one of whose diagonals is $24 \mathrm{cm}$.

Find the area of a trapezium whose parallel sides are $11 \mathrm{cm}$ and $25 \mathrm{cm}$ long and non-parallel sides are $15 \mathrm{cm}$ and $13 \mathrm{cm}$.

The adjacent sides of a $\left|\right| \mathrm{gm} AECD$ measure $34 \mathrm{cm}$ and $20 \mathrm{cm}$ and the diagonal $AC$is $42 \mathrm{cm}$ long. Find the area of the $\left|\right| gm$.