Project #5351 - Geometry

You just bought a house, and in the house is a great room that needs some work.  The dimensions of the room are as given on the attached picture (22.5 ft x10.5 ft), with identical windows at either end, a door along one wall to the kitchen, and an open half-wall where the stairway is (it's a split level house). 

           

            You decide to split the room into a dining area, with wood flooring, and a living area, with carpeting.  The walls and ceiling also need repainting. 

 

            You have options for each of these decorating areas, with different costs, but you also have a budget to keep within: you can spend no more than $850, and less would be better.  (We will simplify things and not worry about primer, padding beneath the carpet, or installation costs.)

 

Here are the options you are considering:

Carpeting:

            textured triexta (a renewable resource fiber): $22.41/yd2

or         nylon berber (more traditional): $26.19/yd2   

 

Wood flooring:

            bamboo: $2.38/ft2

or         solid oak: $4.78/ft2

 

Paint:

$29.90/gal or $13.96/qt

            You can choose 1 color or multiple (i.e. one for the walls, one for the ceiling; different colors for different walls; the same for all; etc.).  But keep in mind that if you choose multiple colors, you can't share paint from one gallon. The paint usually spreads to about 300 ft2 per gallon (but you can stretch it a little more if necessary).

 

Your task:

            Make the necessary calculations of the room surfaces to figure out how much you will need of the given materials.  Make your choices for what you would like to use, but be sure to check that it comes in under budget!  The "answer" that you turn in should include all your calculations (areas, costs, etc.), the final prices for each individual part of the job, and the total cost of the whole job, like a summary for a work order estimate. Note: be careful of your units!

Subject Mathematics
Due By (Pacific Time) 05/17/2013 12:00 am
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