Area of Trapezium

The distance between parallel sides of a trapezium of area $441 \mathrm{sq}.\mathrm{cm}$  is $18 \mathrm{cm}$. If one the parallel sides is $28 \mathrm{cm}$, find the other side.

In the given trapezoid $PQRS$, seg $PQ\parallel$seg $SR$, then what is the area of trapezoid $PQRS$considering on the lengths of sides given in figure?

Find the area of the shaded portion.

Find the area of the following:

Find the area of the following:

In the figure below, $\mathrm{ST}\parallel \mathrm{PQ}$. All measurements are in units.

Prove that the area of the trapezium $\mathrm{PQTS}$ is $\left[\frac{1}{2}\right(a+b\left)h\right]$ sq units.

The perimeter of an isosceles trapezium is $16 \mathrm{cm}$ and the shoulder parallel side is one third of the longer parallel side. If the sum of the length of the opposite sides of a trapezium are equal, find the area (in ${\mathrm{cm}}^2$) of the trapezium.

Find the area of shaded region without units.

Two parallel sides of a trapezium are $29 \mathrm{cm}$ and $21 \mathrm{cm}$, Non-parallel sides are equal and each is of length $8.5 \mathrm{cm}$. What is the area of the trapezium ?

For the trapezium given below, find its area up to two decimal places.

Find the area of a trapezium whose length of parallel sides are $4 \mathrm{cm}$ and $6 \mathrm{cm}$ respectively and height is $3 \mathrm{cm}$.

$ABCD$ is a trapezium such that $AB\parallel CD$. If $AB=21 \mathrm{cm}$, $CD=15 \mathrm{cm}$ and height be $8 \mathrm{cm}$, then find the area of the trapezium $ABCD$.

Find the area of a trapezium whose bases are $25 \mathrm{in}$ and $10 \mathrm{in}$ and whose height is $6 \mathrm{in}$.

A field is in the form of a trapezium. Its area is $1586 {\mathrm{m}}^2$ and the distance between its parallel sides is $26 \mathrm{m}$. If one of the parallel sides is $84 \mathrm{m}$, find the other.

Derive area of trapezium formulae using a triangle.

Find the area of a trapezium$\left({\text{in}}^2\right)$ whose bases are $22 \text{in}$ and $10 \text{in}$ and whose height is $5 \text{in}$.

Derive formula for area of trapezium by transforming it into a triangle. Then, find area of the trapezium shown.

Derive formula for area of trapezium by transforming it into a triangle. Then, find the sum of parallel sides if area and the height are $270 {\mathrm{cm}}^2 \mathrm{and} 12 \mathrm{cm}$ respectively.

Derive formula for area of trapezium by transforming it into a triangle. Then, find the height if area and the sum of parallel sides are $216 {\mathrm{cm}}^2 \mathrm{and} 48 \mathrm{cm}$ respectively.

Find formula for area of given trapezium by triangulation. Then find the height, if the area and sum of parallel sides are $165 {\mathrm{cm}}^2 \mathrm{and} 33 \mathrm{cm}$ respectively.