Perimeter and Area in Two Dimensions

Find the perimeter of the given polygon.

Find the perimeter of the given polygon.

Find the perimeter of a trapezium if the lengths of sides are $8$ units, $12$ units, $6$ units and $20$ units.

Find the perimeter of a trapezium if the lengths of sides are $10$ units, $12$ units, $15$ units and $20$ units.

Find the area of a circle whose circumference is $22 \mathrm{cm}$. [Write the answer in ${\mathrm{cm}}^2$]

Find the breadth of a rectangular plot of land, if its area is $440 {\mathrm{m}}^2$ and length is $22 \mathrm{m}$. Also, find its perimeter.

Find the breadth of a rectangular plot of land, if its area is $880 {\mathrm{m}}^2$ and length is $44 \mathrm{m}$. Also, find its perimeter.

If the perimeter of parallelogram is $100 \mathrm{cm}$ and its base is $25 \mathrm{cm}$, find its sides length.

If the perimeter of parallelogram is $40 \mathrm{cm}$ and its base is $15 \mathrm{cm}$, find its sides length.

If the area of a rhombus is $30 {\mathrm{cm}}^2$ and one of its diagonal is $6 \mathrm{cm}$, find the perimeter of the rhombus.

If the area of a rhombus is $24 {\mathrm{cm}}^2$ and one of its diagonal is $4 \mathrm{cm}$, find the perimeter of the rhombus.

In the diagram shown above, ABCD is a plane figure, where both BC and AD are arc lengths of a circle centred at O. Length $OA=5cm and AB=8cm$. Find the perimeter of the region ABCD in centimetre.

In the following diagram, the plane figure $ABCD$ is part of a sector of a circle.

$OA=AB=8 \mathrm{cm}$ and $A\hat{O}D=\theta °$

Given that the area of $ABCD$ is $200{ \mathrm{cm}}^2$. Determine the value of $\theta$. Give your answer correct to the nearest degree. [Enter the value excluding units]

The diagram shows a triangular field $ABC$. A farmer tethers his horse at point $A$ with a rope of length $85 \mathrm{m}$.

Find, correct to $3$ significant figures., the area of the field that the horse cannot reach.

A circular sector has radius $4 \mathrm{cm}$ and a corresponding arc length of $1.396 \mathrm{cm}$ rounded to the nearest thousandth of a centimetre. Find the area of the sector. [Enter the value correct up to three significant figures excluding units]

Find the area of the segment enclosed by chord $BC$ and the subtended arc with radius $4 \mathrm{cm}$ and central angle $55°$. Give your answer correct to $3$ significant figures.     [Enter the value excluding units]

Determine the area of the shaded region of a wooded patch in a circular park if the radius of the circle is $12 \mathrm{cm}$. Give your answer correct to $3$ significant figures.     [Enter the value excluding units]

Determine the area of the shaded region of a wooded patch in a circular park if the radius of the circle is $8 \mathrm{cm}$. Give your answer correct to $3$ significant figures.     [Enter the value excluding units]

A sector with central angle $140°$ and radius $9 \mathrm{cm}$ is cut from a wooden circle. Find the area of the sector. Give your answer correct to $3$ significant figures.    [Enter the value excluding units]

Determine the area of the sector with radius $r$ and central angle $\theta$ given below. Give your answer correct to $3$ significant figures.    [Enter the value excluding units]

$r=10.5 \mathrm{cm}, \theta =122°$