Consecutive even integer word problem help please!!

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03-05-2021
Mathematics

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Consecutive even integer word problem help please!!

Sagot :

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ivycoveredwalls ivycoveredwalls · Answer 1 · 2021-05-03T18:02:38-04:00

Answer:

Width: 16 in., Length: 18 in.

Step-by-step explanation:

Consecute even/odd problems seem a bit weird at first.

You choose a variable to represent the first integer, say n . Assume it's even (no symbolic way to tell!). If n is even, then the next consecutive integer is n + 2. You add two because you want to skip one integer.

Width: n

Length: n + 2

Area is length multiplied by width, so

[tex]n(n+2)=224\\\\n^2+2n=224\\\\n^2+2n-224=0\\\\(n+14)(n-16)=0\\\\n+14=0 \text{ or } n-16=0\\\\n=-14 \text{ or }n=16[/tex]

The negative solution makes no sense, so use n = 16

Width: 16

Length: 18

Sagot :

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