Kirin is designing a doghouse. The base of the doghouse will be made of wood and shaped like a rectangle with a half-circle on each side as shown below. How much wood will Kirin need to build the base of the doghouse? Use 3.14 for π and round your answer to the nearest foot. Show all work.

Each length with one mark (I) is 36 inches.

Each length with two marks (II) is 18 inches.

Each length with three marks (III) is 30 inches.

Each end has a height (from the highest point to the lowest point) of 28 inches.

The doghouse will have the shape shown once it is built.

Part A

If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, what shape would the slice be?

Part B

If Wendell were to slice the doghouse with a plane parallel to the two sides through any section

of the doghouse, what shape would the slice be?

Part C

If Wendell were to slice the doghouse with a plane parallel to the bottom through any section of

the doghouse, what shape would the slice be?

Part D

Wendell plans to paint the doghouse after it's built. He wants to know what the surface area of

the outside of the doghouse will be. To find the surface area, first break up any composite shapes

into rectangles and triangles. Which shape is considered a composite shape? When the shape

is decomposed, what are the dimensions of the resulting shapes necessary for finding surface

area?

Part E

using the results from part D and the dimentions of the other surfaces, find the surface area of the outside of the doghouse. be sure to include the bottom surface in your calculation.

Part F

Wendell is curious how much space Jordan will have inside the doghouse to move around in. what is the volume of the dog house?

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Step-by-step explanation:

EASY WAY

Step-by-step explanation:

Length of rectangle= 13 feet

base of semi circle/ rectangle breadth = 1.6 feet

area =

13 into 1.6

=20.8f

semi circle= 1/2  pie r 2

1/2 x 3.14 x 0.8 x square

=1.577536 f

1.577-20.8=the wood =19.22 feet 2

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

you already gave the answer

step-by-step explanation: