A Rectangular Garden Is To Be Surrounded By A Walkway Of Constant Width. The Gardens Dimensions Are 30ft And 40ft. The Toatal Area, Garden Plus Walkway Is To Be 1800ft^2. What Must Be The Width Of The Walkway To The Nearest Thousandth?
Answer:
(30 + 2x)(40 + 2x).
So the total area is:
(30+2x)(40+2x)=1800
multiplying and by simplifying we have:
4x^2+140x-600=0
dividing both sides by 4 we have:
x^2+35x-150=0
using quadratic formula,
x= (-35 +/- 42.7200)/2
= 7.7200/2
= 3.860ft >>>answer
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