Question

please help and solve it I need explanation with diagram too​

Answer 1

Answer:

Perimeter = 62cm

Step-by-step explanation:

Let's name the fig as I've had done in the attachment.

Given,

AB = 4cm

EF = 4cm

BC =6cm

CD = 6cm

FG = 12cm

Fact :

Here, in a square AFGH, a small square is also given i.e, BECD.

So, we know that all the sides of a square are equal in measure.

We have,

FG = HG = HA = AF

→ 12cm = HG = HA = AF

Again,

BC = CD = DE = BE

→ 6cm = 6cm = DE = BE

To find perimeter,

AB + BC + CD + DE + EF + FG + GH + HA

= 4cm + 6cm + 6cm + 6cm + 4cm + 12cm + 12cm + 12cm

= 10cm + 6cm + 6cm + 4cm + 12cm + 12cm + 12cm

= 16cm + 6cm + 4cm + 12cm + 12cm + 12cm

= 22cm + 4cm + 12cm + 12cm + 12cm

= 26cm + 12cm + 12cm + 12cm

= 38cm + 12cm + 12cm

= 50cm + 12cm

= 62cm.

Hence, the perimeter of the given figure is 62cm.