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Vsevolod [243]
3 years ago
6

Consecutive even integer word problem help please!!​​

Mathematics
1 answer:
Zina [86]3 years ago
5 0

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  <em>n</em> .  Assume it's even (no symbolic way to tell!).  If  <em>n</em>  is even, then the next consecutive integer is  <em>n</em> + 2.  You add two because you want to skip one integer.

Width:  <em>n</em>

Length:  <em>n</em> + 2

Area is length multiplied by width, so

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

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

Width: 16

Length: 18

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