Question

Construct a rectangle ABCD in which side BC =4.5 cm and diagonal BD =6.2 cm

Answer 1

$ABCD$ is the required rectangle.

Step-by-step explanation:

Given,

Construct a rectangle $ABCD$ where side $BC =4.5\ cm$ and diagonal $BD =6.2\ cm$

Following steps:

• Draw a line $BC =4.5\ cm$ using scale.
• At $B\ and\ C$, draw perpendicular line with $BC$ using set-square like $\angle CBX=90\ degree\ and\ \angle BCY=90\ degree$
• $B$ as center and $6.2\ cm$ as radius, draw an arc $D$ on line $CY$
• Join $BD$
• $D$ as center and $4.5\ cm$ as radius, draw an arc $A$ on line $BX$
• Join $AD$

Hence, $ABCD$ is the required rectangle.

Answer 2

Step-by-step explanation:

First draw a rough sketch of the required rectangle and write down its dimensions.

1. Draw BC = 5cm
2. Draw CX | BC
3. With B as centre and radius 6.2 CM draw an Arc cutting CX at D.
4. join BD
5. with D as centre and radius 5cm draw Arc.
6. with B a centre and radius equal to CD draw another arc cutting the previous arc at A.
7. join AB and AD
8. with B as centre and radius equal to CD draw another arc cutting the previous are at A.
9. join AB and AD.

Then, ABCD is the required rectangle.