Question
A rectangular garden plot 16 by 24 meters is to be bordered by a strip of uniform width x meter so as to double the area. Find x.
Answers
current area = 16(24) m^2 = 384 m^2
new plot is 16+2x by 24+2x
new area = (16+2x)(24+2x) = 2(384)
expand, simplify to a quadratic equation.
Solve this quadratic using the method you learned.
hint: it factors and has a nice integer solution
new plot is 16+2x by 24+2x
new area = (16+2x)(24+2x) = 2(384)
expand, simplify to a quadratic equation.
Solve this quadratic using the method you learned.
hint: it factors and has a nice integer solution
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