Question

Consecutive even integer word problem help please!!​​

Answer 1

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

$n(n+2)=224\\\\n^2+2n=224\\\\n^2+2n-224=0\\\\(n+14)(n-16)=0\\\\n+14=0 \text{ or } n-16=0\\\\n=-14 \text{ or }n=16$

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

Width: 16

Length: 18