Respuesta :

Divide the figure into 3 shapes: 2 rectangles and 1 square

Area of rectangle 1: L * W

L = 5, W = 2

2 * 5 = 10 m^2

Area of rectangle 2: L * W

L = 6 + 2 , W = 3

8 * 3 = 24 m^2

Area of square: s^2

2^2 = 4 m^2

Add all them together

10 + 24 + 4 = 38 m^2

Step-by-step explanation:

Area of the top Horizontal Rectangle =

Length x Width

=

[tex](5 + 3 + 2) \times 2 \\ = 10 \times 2 \\ = 20 {m}^{2} [/tex]

Area of the bottom vertical rectangle =

Length x Width

=

[tex]6 \times 3 \\ = 18 {m}^{2} [/tex]

Total Area = Sum of Area of 2 Rectangles

=

[tex]20 + 18 \\ = 38 {m}^{2} [/tex]