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 width and length by the same amount.

What will be the length (longer dimension) of the new garden?

Question

miapackard miapackard

04-04-2017
Mathematics

contestada

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 width and length by the same amount.

What will be the length (longer dimension) of the new garden?

Respuesta :

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irspow irspow · Answer 1 · 2017-04-04T22:20:18+02:00

irspow irspow

04-04-2017

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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gabrieldavidmilGabe gabrieldavidmilGabe · Answer 2 · 2019-02-14T17:09:32+01:00

gabrieldavidmilGabe gabrieldavidmilGabe

14-02-2019

I have ALL the CORRECT answers for the quiz. Your answer is in the second pic.

Answer Link

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 width and length by the same amount. What will be the length (longer dimension) of the new garden?

Respuesta :

Otras preguntas

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 width and length by the same amount.

What will be the length (longer dimension) of the new garden?