In general the area of a rectangle is given by:
[tex]A=a\cdot b[/tex]
Where a and b are the length of the sides.
From the picture of above we see that the figure can be divided in two rectanbles, 1 and 2.
1) The area of the first rectangle is:
[tex]A_1=5ft\cdot3ft=15ft^2[/tex]
2) The area of the second rectangle is:
[tex]A_2=5ft\cdot6ft=30ft^2_{}[/tex]
The total area of the figure is just the sum of the areas of the rectangles which form it:
[tex]A=A_1+A_2=15ft^2_{}+30ft^2=45ft^2[/tex]
Answer
The area of the figure is 45 ft²
