giannivaladez giannivaladez
  • 19-08-2022
  • Mathematics
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The perimeter of the rectangle below is 130 units. Find the length of side PQ.
Write your answer without variables.

The perimeter of the rectangle below is 130 units Find the length of side PQ Write your answer without variables class=

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arsemagetachew14
arsemagetachew14 arsemagetachew14
  • 19-08-2022

Answer:

PQ = SR = 28 units

RQ = SP = 37 units

Step-by-step explanation:

p = 2(L + W)

130 = 2 ((5z+2)+(4z))

130 = 2 (5z + 4z +2)

130 = 2(9z + 2)

130 = 18z + 4

130 - 4 = 18z

18z = 126. divide both sides by 18

z = 7

RQ =SP = 5z + 2 = 5×7 +2 = 35+2

RQ = 37 units. SP = 37 units

PQ = SR = 4z = 4 × 7

PQ = 28 units. SR = 28 units

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