Need help with this math problem.?
Need help with this math problem.?
Abey Numeka is an interior designer.She has been asked to locate an oriental rug for a new office.As a rule,the rug must cover 1/2 of the total ffloor area with a uniform witdth sorrounding the rug.
A.If the dimensions of the room are 12 ft by 16ft,write an equation to model the situation
B.Graph the related function.
C.What are the dimensions of the rug?
Answers:
Chosen Answer
Leozologist: Let the uniform width surrounding the rug be x:
A) Area the rugs cover = (12 - 2x) * (16 - 2x)
B) Graph it on your graphing calculator
C) since the area must be half of 12 * 16, solve:
(12 - 2x) * (16 - 2x) = 12 * 16 / 2
x = 2 or 12. Since x < 12 or other wise there's no rug, x = 2.
12 - 2 * 2 = 8
16 - 2 * 2 = 12
The dimension of the rug is 8 ft by 12 ft
2009-09-16 02:32:19
Leozologist: Let the uniform width surrounding the rug be x:
A) Area the rugs cover = (12 - 2x) * (16 - 2x)
B) Graph it on your graphing calculator
C) since the area must be half of 12 * 16, solve:
(12 - 2x) * (16 - 2x) = 12 * 16 / 2
x = 2 or 12. Since x < 12 or other wise there's no rug, x = 2.
12 - 2 * 2 = 8
16 - 2 * 2 = 12
The dimension of the rug is 8 ft by 12 ft
2009-09-16 02:32:19