SOLUTION: if the length of a rectangular kitchen is half the square of its width and its perimeter is 48m write two equations in terms of the length and width and hence find the dimensions o

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Question 928137: if the length of a rectangular kitchen is half the square of its width and its perimeter is 48m write two equations in terms of the length and width and hence find the dimensions of the kitchen
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
.
L + w = 24m
L = w^2/2
.......
w%5E2%2F2+%2B+w+=+24m |Multiplying thru by 2 so as all denominators = 1
w^2 + 2w - 48 = 0
(w+8)(w-6) = 0 (tossing out negative solution for unit measure)
w = 6m and L = 18m 6%5E2%2F2
And...checking
L + w = 24m