The diagram shows the floor plan for harry's new tree house. the entry terrace on the tree house is shaped like an isosceles trapezoid. the entry terrace has an area of square feet. the total area of the tree house is square feet.

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 =

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 =

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

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).