math problem

Project Description:

after reviewing appendix 1, calculate the following and show your work.

1. the property measures as follows: 

north property line = 766.0 feet 

east property line = 361.5 feet 

south property line = 738.67 feet 

west property line = 370.0 feet

a. determine the total linear feet of the perimeter of the property. 

 

b. determine the combined east and west property line length. 

 

2. a delivery of lumber is made that includes 31,368 linear feet of 2x4, df #2. the load also

includes some 2x6, df #2. the total linear feet of lumber delivered is 104,572 linear feet.

determine the quantity of 2x6 delivered. 

 

3. calculate the following.

a. 1/2″ + 4 1/4″ + 21 1/4″ + 5/16″ + 1/8″ = 

 

b. 52 7/8″ – 12 1/2″ - 10 1/4″ - 19 1/8″ = 

 

c. 12.66 lf + 175.5 lf – 90.99 lf + 67.66 lf – 200.17 lf =

 

4. calculate the following.

a. 1 1/4″ × 1/2 = 

 

b. 21 3/4″ ÷ 2″ × 44 1/4″ = 

 

c. 350 cu ft (ft3) ÷ 27 cu ft (ft3) = __________ cu yd (yd3)

 

5. calculate the following.

a. a plot measures 245′-0″ × 133′-0″. calculate the area. 

 

b. calculate the same area in metrics.

 

6. calculate the following.

a. the rise of a sloped roof is 14′-0″ and the run in 24′-0″. calculate the length of a

rafter excluding any overhang. 

 

b. the lengths of a rectangular structure are 161 lf by 65lf. calculate the linear feet

of the perimeter. 

 

c. calculate the area of the flat plane of the structure in “b” (above). 

 

d. calculate the volume of concrete (in cubic yards) necessary for this area if the

slab is 6″ thick. note: 27 ft3 = 1 yd3.
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