Math in the Workplace - Measurements/Geometry
HEWLETT-PACKARD COMPANY
Computer Manufacturer
Current Product Manager
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Job Description: Manage individuals who market, sell, and support products that are currently on market (the following problem is submitted as a homeowner).
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Problem:
The cost of carpet is $13.00/square yard and the cost to install the carpet is $5.00/square yard. The cost of hardwood flooring is $7.00/square foot and the installation cost is $2.00/square foot.
Jon's family room measures 18 feet x 24 feet.
1) What is the cost for carpet, including installation?
2) What is the cost for hardwood flooring, including installation?
3) What is the total cost for hardwood, including installation, around a perimeter four feet wide; and carpet, including installation, in the remaining middle area of the family room floor?
 HEWLETT-PACKARD COMPANY
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Solution:
1) What is the cost for carpet, including installation?
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carpet = $13/sq. yd.
installation = $5/sq .yd.
hardwood = $7/sq. ft.
installation = $2/sq. ft. |
| 24 ft. x 18 ft. |
= 432 sq. ft of carpet needed |
| $13 (carpet) + $5 (installation) = $18/sq .yd. installed carpet |
432 sq. ft.
9 sq. ft. |
= 48 sq .yd. x $18/sq .yd. = $864 for carpet |
2) What is the cost of hardwood flooring including installation?
432 sq. ft. x $9/sq. ft. = $3,888 for hardwood floor
3) What is the total cost for the hardwood and carpet as described.
(hardwood
with carpet)
carpet = $13/sq .yd.
installation = $5/sq .yd.
hardwood = $7/sq. ft.
installation = $2/sq. ft. |
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(24 ft. x 18 ft.) - (16 ft. x 10 ft.) = 272 sq. ft. of hardwood needed
$7 (hardwood) + $2 (installation) = $9/sq .yd. installed hardwood
272 sq. ft. x $9/sq. ft. = $2,448 for hardwood
(16 ft. x 10 ft.)
9 sq. ft. | = 17.77 sq .yd. of carpet needed |
| 17.77 sq .yd. x $18/sq .yd. = $320 for carpet |
$2,448 + $320 = $2,768 total for hardwood and carpet