Complete the following questions using the figure below a De

Complete the following questions using the figure below. (a) Determine the cost to tile the kitchen/Dinette area in the plan with tile costing $23.40 per square yard installed. (b) Determine the cost of concrete needed for the slab foundation of the house if concrete costs $75 per cubic yard and the slab should be 8 thick. (you can include the long, narrow porch in this calculation if you want)

Solution

Ans(a):
Length of kitchen=16\'2\"=16+2/12\'=97/6\'
Width of kitchen=14\'4\"=14+4/12\'=43/3\'
Area of the kitchen= length * width =97/6 *43/3 =4171/18 square feet
we know that 1 yard = 3 feet
then 1 square yard = 3^2 square feet= 9 square feet
given that cost of 1 square yard or 9 square feet =23.40
then cost of 1 square feet = 23.40/9
then cost of Dinete area = (23.40/9)*(4171/18) =602.48
Hence required cost is $602.48

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Ans(b):
length of all walls will include in slab foundation
hence total length = (40+43+40+43+18+18+16+2/12+16+2/12+11+6/12) feet =245.83 feet
thickness of the slab means width= height = 8 inch= 8/12 feet
then volume of total slab foundation = length * width * height
=245.83*(8/12)*(8/12)= 109.26 cubic feet.
= 109.26/27 cubic yard
given that cost of 1 cubic yard = $75
then total cost = (109.26/27)*75 = $303.5