Answer:
1. 48 square feet
2. 308 square feet
Step-by-step explanation:
1.
The entry terrace is shaped as a trapezoid and the area of a trapezoid is given as:
Area of Trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
Where
b_1 and b_2 are the 2 parallel bases
and h is the perpendicular height
From the diagram, we see that the 2 bases are 16 and 8 and height is 4.
Plugging into the formula, we get:
Area of Entry Terrace = [tex]\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(16+8)*4=\frac{1}{2}(24)(4)=48[/tex]
2.
The total area comprises of the area of entry terrace + playroom + back porch.
The area of the back porch is 6 * 6 = 36 (it is shaped like a square and square has area of side * side)
The area of the playroom is 14 * 16 = 224 (it is a rectangle and rectangle has area of base * height)
Total area of treehouse = 48 + 36 + 224 = 308 square feet
Answer:
The entry terrace has an area of
48
square feet. The total area of the tree house including the entrance, porch, and side deck is
350
square feet.
Step-by-step explanation:
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