SOLUTION: Luke's rectangular bedroom is 540 f. The width is 1.5ft shorter than the length. I wrote the equation out 540=x(x t 1.5) but I don't know how to find the dimensions. Can you teach

Question 912748: Luke's rectangular bedroom is 540 f. The width is 1.5ft shorter than the length. I wrote the equation out 540=x(x t 1.5) but I don't know how to find the dimensions. Can you teach me how to solve for the dimensions please?
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
Luke's bedroom is half as big as most people's houses!
area = length * width
l = w + 1.5
540 = w(w+1.5)
540 = +1.5w
0 = +1.5w-540
Factor:
(w+24)(w-22.5)
Since a measurement is a positive value, we'll use 22.5
width = 22.5. The length is 1.5 longer than that, or 24
22.5 * 24 = 540
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