Answer:
The entry has an area of __44___ square feet
The total area of the tree house is __345__ square feet
Step-by-step explanation:
Let's first calculate the area of the trapezoid entrance:
The area of a trapezoid is given by:
A =((b1 + b2) * h) / 2
Where b1 and b2 are the bases or parallel sides. So, we have:
A = ((6 + 16) * 4) / 2 = (22 * 4) / 2 = 44 sq ft
Now, let's look at the other areas... which are all rectangles, so easy to calculate (b * h).
Playroom: 16 x 14 = 224 sq ft
Side Deck: 3 x 14 = 42 sq ft
Back Porch: 6 x6 = 35 sq ft
So, in the total area of the tree house is:
TA = 44 + 224 + 42 + 35 = 345 sq ft