Question

find the area and perimeter of combined plane figures​

Answer 1

Answer:

Step-by-step explanation:

The given combined figure is made up of a square ABCD and an equilateral triangle DEA.

Given: Side of a square =4cm

∴ Perimeter of the combined figure =AB+BC+CD+DE+EA

=4+4+4+4+4=20cm

∴ Perimeter of the combined figure =20cm.

Area of the given combined figure = Area of a square + Area of an equilateral triangle

=a  

2

+  

4

3

​

 

​

a  

2

 

3

​

=1.732

=4×4+  

4

3

​

 

​

×4×4

=16+1.732×4

Area of the given combined figure =16+6.928=22.928

Area of the given figure ≃22.93cm  

2

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