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
=a2+√34a2√3=1.732
=4×4+√34×4×4
=16+1.732×4
Area of the given combined figure =16+6.928=22.928
Area of the given figure ≃22.93cm2.