9514 1404 393
Answer:
Step-by-step explanation:
The perimeter is the sum of the side lengths. Those that are unmarked are assumed to match the length of the nearest parallel side.
Clockwise from upper left, the perimeter is ...
P = 8 + 5 + 4 + 4.5 + 15 + 5.6 + 4 + 5
P = 51.5 . . . feet
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The area can be figured using the formulas for area of a parallelogram, rectangle, and trapezoid. These are, respectively, ...
- A = bh
- A = bh
- A = (1/2)(b1 +b2)h
parallelogram area = (8 ft)(3 ft) = 24 ft²
rectangle area = (8 ft)(4 f) = 32 ft²
trapezoid area = (1/2)(8 ft +15 ft)(4 ft) = 46 ft²
Then the total area of the figure is ...
A = 24 ft² +32 ft² +46 ft²
A = 102 ft²
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<em>Additional comment</em>
The figure shown is impossible. The trapezoid side lengths and height are consistent with a bottom base of length 14, not 15.
