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Lorico [155]
2 years ago
15

the length of a rectangle is 39cm less than five times its width. find the dimensions if the perimeter is 414cm. 2L+2W = P

Mathematics
1 answer:
Oksanka [162]2 years ago
4 0

Answer:

  • 41 cm and 166 cm

Step-by-step explanation:

<u>As per question we have:</u>

  • 2(l + w) = 414 ⇒ l + w = 207
  • l = 5w - 39

<u>Solve it for l by substitution:</u>

  • 5w - 39 + w = 207
  • 6w = 207 + 39
  • 6w = 246
  • w = 246/6
  • w = 41

<u>Find l:</u>

  • l = 207 - 41 = 166
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****************************************************************

If you need a "system" of inequalities, then you need another equation.

There are infinite possibilities. Graph the points to see what works.  

y < 8   or  x > -2 are two examples.


---> I just realized that the system can be simpler than what I did above:

\left \{ {{x>-2} \atop {y < 8}} \right



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