Area and Perimeter of Polygons

The sum of the two parallel sides and the sum of the two non-parallel sides of a trapezoid are $25$ inches and $30$ inches respectively. Find the perimeter of the trapezoid.

Find the perimeter of a trapezoid whose sides are given as $5$ units, $7$ units, $8$ units, and $10$ units.

Find the perimeter of a trapezoid whose sides are given as $4$ units, $6$ units, $7$ units, and $9$ units.

Find the perimeter of a kite whose adjacent sides are $9$ units and $16$ units.

Find the perimeter of a kite whose adjacent sides are $7$ units and $13$ units.

The length of the diagonal of a quadrilateral is $40 cm$ and the perpendicular drawn to it from the opposite vertices are $12 cm \& 7.5 cm.$ Find the area of the quadrilateral.

Find the area of a quadrilateral when one of the diagonal measures $12 cm$, and the length of the perpendicular drawn from the opposite vertices to the diagonal are $7 cm \& 8 cm$ respectively.

Find the area of the quadrilateral whose diagonal is of length $70 m$ and lengths of the perpendiculars drawn from the opposite vertices on the diagonal are of lengths $42 m \& 50 m$respectively.

Find the area of a quadrilateral one of whose diagonals is $30 cm$ long and the perpendiculars from the two other vertices on this diagonal are $19 cm \& 11 cm$ respectively.

Find the length of a diagonal of a quadrilateral whose area is $195 m^2$ and the lengths of the perpendicular to the diagonal vertices are $8.5 m \& 11 m$ respectively.

Which is an equiangular but not an equilateral parallelogram?

A square carpet covers an area of $1024 {\mathrm{m}}^2$ of a big hall. It is placed in the middle of the hall. If the length of a side of the carpet is $k \mathrm{m}$, then find $k$.

The area of an equilateral triangle is $\frac{\sqrt{3}}{4}\times 9 \mathrm{sq}.\mathrm{cm}$. Its side is equal to _____$\mathrm{cm}$.

If the area of the parallelogram with base $=60 \mathrm{cm}$ and height $=30 \mathrm{cm}$ is $\mathrm{k} {\mathrm{cm}}^2$, then find $\mathrm{k}$.

If the area of an equilateral triangle is $21.2 \mathrm{sq}. \mathrm{cm}$, and the length of its each side is $k \mathrm{cm}$ then find $k$.(upto two decimal places)

One side of a parallelogram is $15 \mathrm{cm}$ and the corresponding height is $8 \mathrm{cm}$. If the adjacent side is $10 \mathrm{cm}$, then its corresponding height is

The area of a parallelogram of base $8 \mathrm{cm}$ and altitude $3.5 \mathrm{cm}$ is _____ ${\mathrm{cm}}^2$.