Question
Draw a reactangle whose two adjacent sides are $5.4\ cm$ and $3.5\ cm.$
✓
Answer
Steps of construction:
$1.$ Draw a ray $A X$.
$2.$ With $A$ as the centre, cut the ray $X A$ at $B$, such that $A B$ is equal to $3.5 \ cm .$
$3.$ With $B$ as the centre and with any convenient radius, draw an arc cutting $A X$ at $M$ and $N$.
$4.$ With $N$ as the centre and with radius more than half of $MN$ , draw an arc.
$5.$ With $M$ as the centre and with the radius same as before, draw another arc to cut the previous arc at $Y$.
$6.$ Draw $BY$ and produced it to $W.$
$7.$ With $B$ as the centre and a radius of $5.4 \ cm$ , cut ray $B W$ at point $C$.
$8.$ With $C$ as the centre and a radius $3.5 \ cm$ , draw an arc on the right side of $B C$.
$9.$ With $A$ as the centre and a radius $5.4 \ cm$ , draw an arc cutting the previous arc at $D$.
$10 .$ Join $CD$ and $AD.$
$ABCD$ is the required rectangle.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Given $\overline{\text{AB}}$ of length $7.3\ cm$ and $\overline{\text{CD}}$ of length $3.4\ cm,$ construct a line segment $\overline{\text{XY}}$ such that the length of $\overline{\text{XY}}$ is equal to the difference between the lengths of $\overline{\text{AB}}$ and $\overline{\text{CD}}$. Verify by measurement.
→Total number of students of a school in different years is shown in the following table:
Represent the above data by a pictograph.
Prepare another pictograph of students using any other symbol each represents students. Which pictograph do you find more informative?
→|
Year
|
Number of students
|
|
$1996$
|
$400$
|
|
$1998$
|
$550$
|
|
$2000$
|
$450$
|
|
$2002$
|
$600$
|
|
$2006$
|
$650$
|
Prepare another pictograph of students using any other symbol each represents students. Which pictograph do you find more informative?
Rewrite each of the following numerals with proper commas, using the international place$-$value chart.
Also, write the number name in the international system.
$i.\ 735821$
$ii.\ 6057894$
$iii.\ 56943821$
$iv.\ 7502093$
$v.\ 89350064$
$vi.\ 9070300$
→Also, write the number name in the international system.
$i.\ 735821$
$ii.\ 6057894$
$iii.\ 56943821$
$iv.\ 7502093$
$v.\ 89350064$
$vi.\ 9070300$
If $a, b, c,$ are in proportion, then
→Draw an angle of measure $45^\circ $ and bisect it.
→Construct a rectangle of sides 8 cm and 4 cm. How will you construct a square inside, as shown in the figure, such that the centre of the square is the same as the centre of the rectangle ?
Hint.
Draw a rough figure. What will be the sidelength of the square? What will be the distance between the comers of the square and the outer rectangle?
Hint.
Draw a rough figure. What will be the sidelength of the square? What will be the distance between the comers of the square and the outer rectangle?
Draw an angle and label it as $\angle\text{BAC}.$ Draw its bisector ray $AX$ and take a point $P$ on it. From $P$ draw line segments $PM$ and $PN,$ such that $\text{PM}\perp\text{AB}$ and $\text{PN}\perp\text{AC},$ where $M$ and $N$ are respectively points on rays $AB$ and $AC$. Measure $PM$ and $PN.$ Are the two lengths equal$?$
→In a botanical garden, the number of different types of plants are found as follows:
Draw a bar graph to represent the above information and answer the following questions:
$a.\ $Which type of plant is maximum in number in the garden?
$b.\ $Which type of plant is minimum in number in the garden?
→| Type of the plant | Number of home appliances |
| Herb | $50$ |
| Shrub | $60$ |
| Creeper | $20$ |
| Climber | $45$ |
| Tree | $95$ |
$a.\ $Which type of plant is maximum in number in the garden?
$b.\ $Which type of plant is minimum in number in the garden?
Draw an angle of $60^\circ$ using ruler and compasses and divide it into four equal parts. Measure each part.
→→