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The perimeter of a rectangle is 194. The length is 25 more than 5 times the width. Find the dimensions.

The perimeter of a rectangle is 194. The length is 25 more than 5 times the width. Find the dimensions.
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22 votes
The perimeter of a rectangle is 194. The length is 25 more than 5 times the width. Find the dimensions.

asked
User RedComet
by
7.8k points

1 Answer

5 votes

Answer:

  • 12 and 85

Explanation:

Given

  • P = 194
  • l = 5w + 25
  • l = ?, w = ?

Solution

Perimeter formula

  • P = 2(l + w)

Substitute and solve for w:

  • 194 = 2(5w +25 + w)
  • 194 = 12w + 50
  • 12w = 144
  • w = 144/12
  • w = 12

Find the length:

  • l = 5*12 + 25 = 85
answered
User Preyz
by
8.4k points
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