Question

Each side of a square flower bed is 3 m 80 cm long. It is extended by digging a strip 50 cm wide all around it . Find the area of the enlarged flower bed and also the increase in the area of the flower bed.

Answer 1

Square flower bed side =3.8m
Area of flower bed =3.8×3.8=14.44msquare
it is increased by 0.5m
So it's side =3.8+0.5+0.5=4.8m
So area of flower bed after increasing 0.5m =4.8×4.8=23.04msquare
So the increase in area=23.04-14.44=8.6m

Answer 2

Answer:

Area of the enlarged flower bed is 23.04 m² and increase in the area of the flower bed is 4.05 m² .

Step-by-step explanation:

Formula

Area of the square = a²

Where a is the side of the square .

As given

Each side of a square flower bed is 3 m 80 cm long.

As 1cm = 0.01 m

Now convert 80 cm into meter .

$80\ cm = 80\times 0.01$

                   = 0 .8 m

Thus

Side of the square flower bed = 3 + .8

                                                  = 3.8 m

Area of the  square flower bed = 3.8²

                                                    = 14.44 m²

As given

It is extended by digging a strip 50 cm wide all around it

Now convert 50 cm into meter .

$50\ cm = 50\times 0.01$

                   = 0.5 m  

Thus

New side of the square flower bed = 3.8 + 2 ×0.5

                                                          = 3.8 + 1

                                                         = 4.8 m

Area of the enlarged square flower bed = 4.8²

                                                                   = 23.04 m²

Thus

Increase in the area of the flower bed = Area of the enlarged square flower bed - Area of the  square flower bed .

Increase in the area of the flower bed = 23.04 - 14.44

                                                                = 8.6 m²

Therefore area of the enlarged flower bed is 23.04 m² and increase in the area of the flower bed is 8.6 m² .