Question
Draw a reactangle whose two adjacent sides are $5.4\ cm$ and $3.5\ cm.$
✓
Answer
Steps of construction:
$1.$Draw a ray $AX.$
$2.$With $A$ as the centre, cut the ray $XA$ at $B,$ such that $AB$ is equal to $3.5\ cm.$
$3.$With $B$ as the centre and with any convenient radius, draw an arc cutting $AX$ 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 $BW$ at point $C.$
$8.$With $C$ as the centre and a radius $3.5\ cm,$ draw an arc on the right side of $BC.$
$9.$With $A$ as the centre and a radius $5.4\ cm,$ draw an arc cutting the previous arc at $D.$
$10.$Join $CD$ and $AD.$
$\text{ABCD}$ 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
Construct an angle of $90^\circ $ and bisect it.
→The area of a square field is $36m^2$. A path of uniform width is laid around and outside of it. If the area of the path is $28m^2$, then find the width of the path.
→Draw an angle equal to $\triangle\text{AOB},$ given in the adjoining figure.
→Express each of the following as a Roman numeral:
→|
S.No.
|
Numerical
|
|
$i$
|
$2$
|
|
$ii$
|
$8$
|
|
$iii$
|
$14$
|
|
$iv$
|
$29$
|
|
$v$
|
$36$
|
|
$vi$
|
$43$
|
|
$vii$
|
$54$
|
|
$viii$
|
$61$
|
|
$ix$
|
$73$
|
|
$x$
|
$81$
|
|
$xi$
|
$91$
|
|
$xii$
|
$95$
|
|
$xiii$
|
$99$
|
|
$xiv$
|
$105$
|
|
$xv$
|
$114$
|
Fill in the missing fraction: $\square-\frac{3}{6}=\frac{3}{6}$
→Construct with ruler and compass, angle of measure $60^\circ .$
→Construct $\angle\text{AOB}=85^\circ$ with the help of a protractor. Draw a ray $OX$ bisecting $\angle\text{AOB}.$
→Take three non-collinear points $A, B$ and $C$ on a page of your notebook. Join $AB, BC$ and $CA.$ What figure do you get$?$ Name the triangle. Also, name:
$i.\ $The side opposite to $\angle\text{B.}$
$ii.\ $The angle opposite to side $AB.$
$iii.\ $The vertex opposite to site $BC.$
$iv.\ $The side opposite to vertex $B.$
→$i.\ $The side opposite to $\angle\text{B.}$
$ii.\ $The angle opposite to side $AB.$
$iii.\ $The vertex opposite to site $BC.$
$iv.\ $The side opposite to vertex $B.$
Asha and Samuel have bookshelves of the same size partly filled with books. Asha's shelf $\frac56$th full and Samuel's shelf is$\frac25$ th full. Whose bookshelf is more full? By what fraction?
→Jaidev takes $2\frac15$ minutes to walk across the school ground. Rahul takes $\frac74$ minutes to do the same. Who takes less time and by what fraction?
→