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  • 03-12-2020
  • Mathematics
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In rectangle PLAN, PT = x + 3 and TL = 3x - 11. What are the lengths of PA and NL?

In rectangle PLAN PT x 3 and TL 3x 11 What are the lengths of PA and NL class=

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eudora eudora
  • 11-12-2020

Answer:

PA = 20 units

NL = 20 units

Step-by-step explanation:

Property of a rectangle,

"Diagonals of a rectangle are equal in measure and divide each other in two equal parts"

By using this property,

PT = TL

(x + 3) = (3x - 11)

3x - x = 11 + 3

2x = 14

x = 7

Length of PT = (x + 3) = 10

Length pf PA = 2(PT) = 20 units

Length of NL = PA = 20 units

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