Find the area of the shape shown below.

The reference image for the solution is attached below.

The figure is splitted into two shapes.

One shape is square and the other shape is trapezium.

Side length of square = 2 units

Bases of the trapezium = 1 unit and 2 unit

Height of the trapezium = 2 unit

Area of the square = side × side

                                = 2 × 2

Area of the square = 4 units²

Area of the trapezium =

Area of the trapezium = 3 units²

Area of the shape = Area of square + area of trapezium

                              = 4 units² + 3 units²

                              = 7 units²

The area of the shape is 7 units².

7 units²

Step-by-step explanation:

Rectangle - Triangle

Rectangle: 4 × 2 = 8

Triangle: ½ × 2 × 1 = 1

Area = 8 - 1 = 7

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.