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Peremeter=34 Area=60, What are the sides???

User Zehnpaard
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1 Answer

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20 votes

Answer:

Explanation:

I'm going to assume it is a rectangle.

P = 2L + 2w = 34

Area = L * w = 60 Divide by L

w = 60/L Substitute into the perimeter.

P = 2L + 2w = 34 Put (60/L) for w

P = 2L + 2(60)/L = 34 Multiply both sides by L

P = 2L^2 + 120 = 34L Subtract 34L from both sides.

2L^2 - 34L + 120 = 0 Divide everything by 2

L^2 - 17L + 60 = 0 Factor

(L - 5)(L - 12) = 0

Since L is usually the larger value, use L = 12

L*w = 60

12w = 60

w = 60/12

w = 5

Answer

  • L = 12
  • w = 5
User Bresson
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