Answer:
134 square feet
Explanation:
You want to know the area of the composite shape shown in the figure.
Area
The figure can be divided by two horizontal lines into two trapezoids and a parallelogram. (See the first attachment.) The area formulas for these are ...
A = 1/2(b1 +b2)h . . . . . trapezoid with bases b1, b2
A = bh . . . . . . . . . . . parallelogram with base b
Application
Each of the horizontal sections in the figure is 4 feet high.
The top trapezoid has an area of ...
A = 1/2(5 +11)(4) = 32 . . . . square feet
The middle parallelogram has an area of ...
A = (11)(4) = 44 . . . . square feet
The bottom trapezoid has an area of ...
A= 1/2(16 +13)(4) = 58 . . . . square feet
The total area is ...
(32 +44 +58) ft² = 134 ft²
Desiree needs to cover 134 square feet.
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Additional comment
The 5' diagonal measures are not used in the computation. They can help you see that all of the right triangles in the figure are 3-4-5 right triangles. (The hexagonal shape is not a regular hexagon.)
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