Answer:
The area is 105.5ft^2
Step-by-step explanation:
Required
The area of the composite figure
The figure can be divided to 2 shapes
(1) Rectangle: Length = 6ft and Width = 8ft
(2) Trapezoid: Height = 5ft (i.e. 8 - 3), Parallel sides = 9ft and 14ft (i.e. 20 - 6)
The area of the rectangle is:
[tex]Area = 6 * 8 = 48[/tex]
The area of the trapezoid is:
[tex]Area = \frac{1}{2}(9 + 14) * 5[/tex]
[tex]Area = \frac{1}{2}(23) * 5[/tex]
[tex]Area = 11.5 * 5[/tex]
[tex]Area = 57.5[/tex]
So, the area of the garden is:
[tex]Total = 48 + 57.5[/tex]
[tex]Total = 105.5[/tex]
