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word problem challenge

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word problem challenge

Category: Case Study

Subcategory: Mathematics

Level: College

Pages: 3

Words: 825

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Lecturer
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Math 1105 Word Problem Challenge
Question one
1400 square feet
804545494665½ acre

Gate
Height is 8 feet
12 inches thick
Material labor equipment total
Cost per square foot 3.17 4.57 .06 7.80
Cost per block 2.81 4.06 .05 6.92
Cost per linear foot 25.30 36.74 .54 62.58
(Get-a-quote.net)
Concrete block is assumed to measure 12’ by 8” by 16” (Get-a-quote.net)
1 foot is 12 inches; therefore 8 * 12 = 96 inches
96/16= 6 bricks high
For width 1 brick is 8”
Required width is 12”
Total bricks is 1 and ½
Total 12” by 12” by 96”
6+3 =9; 9 * 6.92 =62.28
Area of the plot is ½ acre which is also equal to 21780 square ft.
Gate area by actual measurements is 13.12ft * 8ft =104.96 ft.
Square root of 21780 is 147.58
147.58 – 104.96=1766.688
1766.688/12=147.224
147.224 * 62.28 * 4= 36676.44
Reinforcement steel
Wielded wire mesh measuring 4” by 4” at total cost of 1.71 dollars (Get-a-quote.net)
Total metal covered height 4ft / 12”= 0.333 ft.
147.58/4= 36.895
96/4 =24
24* 36.895=885.48 * 4= 3541.92
16”= 1.71 DOLLARS; 3541.92 * 1.71/24 =378.5427
TOTAL COST OF WALL 378.5427 + 36676.44 =37054.99
Assumptions
Concrete …

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