Question

Draw two squares of different sides.can you say there are similar? Explain find the ratio of their perimeters and areas. what do you observe​

Answer 1

Answer:

Let us draw two squares of sides 2 cm and 4 cm. As all the sides are in proportion PQAB=QRBC=RSCD=SPDA=42

=21

And all the pairs of corresponding angles are 90∘

So square ABCD∼square PQRS

Perimeter of □ABCD=4×2=8 cm

Perimeter of □PQRS=4×4=16 cm

Ratio of their perimeters =8:16=1:2 Ratio of their perimeters is same as ratio of their corresponding sides.

Area of ABCD=2×2=4 cm2

Area of PQRS=4×4=16 cm2

Ratio of their area =4:16=1:4=12:22

= Ratio of squares of the corresponding sides.