Introduction to Areas of Plane Figures

Find the area of shaded region.

A regular pentagon has a perimeter of $125$. Find the length of one side of the pentagon. 

Which one of the following is a pentagon?

Find the angle measure $x$ in the following figure:

The diagonals of a rhombus are $6 \mathrm{cm}$ and $8 \mathrm{cm}$. Find its area $\left(\mathrm{in} {\mathrm{cm}}^2\right)$.

The length and width of a rectangle are $6 \mathrm{metres}$ and $50 \mathrm{centimeters}$. Find its area in square centimeters. How much is it in square metres?

If the length of a rectangle is $6 \mathrm{cm}$ and the width is $5 \mathrm{cm}$ then what is its area? Without changing its width, if the length is increased to $12 \mathrm{cm}$, what would be the relation between the area of the new rectangle and the area of the original rectangle?

When a square and a rectangle have the same perimeter then the area of the square will be greater

A square shaped room with its sides measuring 10 ft. is being reconstructed. If each side of the room is increased by 25% of its current measurement, then the area of the room increases by _____ square feet.

A square room has an area of $64 {\mathrm{m}}^2$. What is its side?

The area of a rectangle with length$\left(\mathrm{l}\right)$ and breadth$\left(\mathrm{b}\right)$ is equal to _____ $\times$ b.

The square having equal sides a has area ${\text{a}}^k$

The value of k is _____.

Area is measured in _____ units. (square $/$ cubic)

A rectangular room's length is $20 \mathrm{m}$ and its breadth is $11 \mathrm{m}$. How many tiles of $2 \mathrm{m}\times 1 \mathrm{m}$ are required to cover the floor of the room. 

A rectangular plot's length is $25 \mathrm{m}$ and its breadth is $15 \mathrm{m}$. Find the area of the plot. If $1$ square metre of the plot costs $₹250$ what is the total value of the plot?

An auditorium measures $25 \mathrm{m}$ in length and $18 \mathrm{m}$ in breadth. How many slabs of stones of $3\mathrm{m}\times 1\mathrm{m}$ are required to cover the floor of the auditorium.

What is the formula to find the area of a square ?

What are the two dimentional figures called?

Mark any two points $P$ and $Q$ in your note book and draw a line passing through the points. How many lines can you draw passing through both the points? Write the answer in word.

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 $k$.