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

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

asked
User Radovan Synek
by
8.4k points

1 Answer

4 votes

Answer:

  • 41 cm and 166 cm

Explanation:

As per question we have:

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

Solve it for l by substitution:

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

Find l:

  • l = 207 - 41 = 166
answered
User Loveen Dyall
by
8.0k points
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