Asked by Kaylee
A rectangular pad of concrete is outlined by a 52-m stripe of paint. Find the dimensions of this pad if the surface area is 168m^2.
drwls: Is there any way you can explain why you did what you did? I don't understand. You had this:
2 (L + W) = 52 (perimeter)
L*W = 168 (area)
2*168/W + 2W = 52
168/W + W = 26
W^2 - 26W = 168
(W-14)(W-12) = 0
W = 14 or 12 m
If W = 12, L = 14 and vice versa
The pad dimensions are 14 x 12 m.
drwls: Is there any way you can explain why you did what you did? I don't understand. You had this:
2 (L + W) = 52 (perimeter)
L*W = 168 (area)
2*168/W + 2W = 52
168/W + W = 26
W^2 - 26W = 168
(W-14)(W-12) = 0
W = 14 or 12 m
If W = 12, L = 14 and vice versa
The pad dimensions are 14 x 12 m.
Answers
Answered by
bobpursley
The first two equation are a math statement of what the given is (Perimeter, area).
The rest is algebra, you can do that however you see fit. DrWLS did it by substitution.
The rest is algebra, you can do that however you see fit. DrWLS did it by substitution.
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