The shape is a Pentagon ... but that won't help get the perimeter or area. you'll have to find the areas and perimeters of both the square and triangle and then add them for the final answer.
Area of figure = area of square + area of triangle
=> Area of Square = a² (a = side)
side = 3.5 cm ...so...
Area of square = a²
= 3.5 × 3.5
= 12.25 cm²
=> Area of Triangle = ½ × base × height
= ½ × 3.5 × 1.64
= 2.87cm²
Area of figure = area of square + area of triangle
Area of figure = 12.25 + 2.87
= 15.12 cm²
Perimeter of figure = P of square + P of triangle
=> P of square = 4a
= 3.5 × 4
= 14cm
=> P of isosceles triangle = 2a + base
= 2 × 2.4 + 3.5
= 4.8 + 3.5
= 8.3cm
Total perimeter of figure = P of square + P of triangle
Total perimeter = 14 + 8.3
= 22.3 cm
