Answer:
[tex]10\ yd^2[/tex]
Step-by-step explanation:
Area Of Compound Regions
When a surface has no regular shape, it can be usually divided into smaller regular parts and add their areas. The surface shown in the figure can be split into 3 smaller rectangles (please refer to the image below).
The area of the yellow part is
[tex]A_y=(1 yd)(3 yd)=3\ yd^2[/tex]
The pink region has a height h=4 yd - 3 yd = 1 yd
The area of the pink region is
[tex]A_p=(4\ yd)(1\ yd)=4 \ yd^2[/tex]
The total area is
[tex]A_t=2A_y+A_p=2(3)+4=10\ yd^2[/tex]
