What is the name of this shape?

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

check the picture below.

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step-by-step explanation: