Trapezium

In a trapezium $ABCD$, if $AB\parallel CD$,then $A{C}^2 + B{D}^2$ is equal to -

The value of ($x$) in the following figure is

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 ?

Which of these is true about a trapezium and a parallelogram $?$ They both have :

Two parallel sides of a trapezium are in the ratio $2 : 3$. If the product of the two parallel sides is equal to the perimeter of a square of side$54 \mathrm{cm}$ , find the length of median of the trapezium :

If in the following figure (not to scale), $\angle \mathrm{DAB}+\angle \mathrm{CBA}=90°, \mathrm{BC}=\mathrm{AD}, \mathrm{AB}=20 \mathrm{cm}, \mathrm{CD}=10 \mathrm{cm}$ then the area of the quadrilateral $\mathrm{ABCD}$ is:

In trapezium $ABCD$, $DC\parallel AB$, $AB=12 \mathrm{cm} \mathrm{and} DC=7.2 \mathrm{cm}$. What is the length of the line segment joining the mid points of its diagonals?

The length of parallel sides of a trapezium are$51 \mathrm{cm}$ and $21 \mathrm{cm}$, and that of each of the other two sides is$39 \mathrm{cm}$. What is the area (in ${\mathrm{cm}}^2$) of the trapezium?

The area of a trapezium is $1400 {\mathrm{cm}}^2$. Its altitude is $50 \mathrm{cm}$. Find the two bases if the number of $\mathrm{cms}$ in each base is an integer divisible by $9$. The number of solution to this problem is

Two triangles of height of length $13.5 \mathrm{cm}$ and base of length $2.5 \mathrm{cm}$is joined along its height with a square of side $14.5 \mathrm{cm},$ to make a trapezium. Find the area of the trapezium.

The area of a trapezium park is $147 {\mathrm{m}}^2.$ Its parallel sides are in the ratio $4 : 3$ and the perpendicular distance between them is $7 \mathrm{m}.$ Find the length of each of the parallel sides.

The area of the top-view of a trapezium laboratory is $256 {\mathrm{m}}^2$ and the width of the building is $8 \mathrm{m}.$ If one of the parallel sides is $34 \mathrm{m},$ find the other.Enable GingerCannot connect to Ginger Check your internet connection
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The area of a trapezium is $1270.5 {\mathrm{cm}}^2.$ If the lengths of its parallel sides are $59.3 \mathrm{cm}$ and $61.7 \mathrm{cm},$ find the distance between them.

Find the area of a trapezium whose parallel sides are $6.4 \mathrm{cm}$ and $3.6 \mathrm{cm}$ and the distance between them is $4 \mathrm{cm}.$

In the following figure, ABDE is a rhombus and ABCD is trapezium. The area and side of the rhombus is $6\sqrt{35} \mathrm{sq}. \mathrm{cm}$. and $6 \mathrm{cm}$ respectively. What is the area of trapezium if the ratio of its parallel sides is $3:4$?

A parallelogram, AGCD and a trapezium, ABCD are constructed on the same base (as shown in figure) and having same height of $7 \mathrm{cm}$. If area of parallelogram is $84 \mathrm{sq}. \mathrm{cm}$ then find the area of trapezium.

The longer parallel side of trapezium is $50\%$ more than the smaller parallel side.

If area of a trapezium is $(12x^2 + 32x) \mathrm{units}$ and height is $8x \mathrm{units}$ then find the sum of its parallel sides.

A trapezium shaped park is to be fenced on all its sides. If the length of the parallel sides are in the ratio of $2:3$ and the height and area of the park is $60 \mathrm{m}$ and $3750 \mathrm{sq}. \mathrm{m}$ respectively then find the length of the fence required. 

The length of the non-parallel sides is $35 \mathrm{m}$ and $40 \mathrm{m}$.

A pond is in the shape of a trapezium such that one of the parallel sides is three times the non-parallel side. This non-parallel side is half of the other parallel side of length $10 \mathrm{m}$. The distance between the two parallel sides is $8 \mathrm{m}$. What will be the area of this pond?

The area of a trapezium is $576 {\mathrm{cm}}^2$ and length is $\frac{2}{3}$ th of the smaller side. If the smaller side is half of longer side, find the height of the trapezium.