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

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x