Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to increase the area to 192 m² by increasing the w idth and length by the same amount.
What will be the length (longer dimension) of the new garden?
2 answers:
I have ALL the CORRECT answers for the quiz. Your answer is in the second pic.
A=LW and we wish to increase L and W by the same amount to get an area of 192m^2. (9+2x)(13+2x)=192 117+18x+26x+4x^2=192 4x^2+44x+117=192 4x^2+44x=75 x^2+11x=18.75 (x+5.5)^2=30.25+18.75 (x+5.5)^2=49 x+5.5=±7 x=-5.5±7, since x>0 x=1.5 13+2(1.5) 16 meters will be the new longer dimension.
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