The diagram shows the floor plan for harry’s new tree house. the entry terrance on the tree house is shaped like an isosceles trapezoid the entry has an area of (blank) square feet the total area of the tree house is (blank) square feet

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

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.