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Area of Square

If QRST is ...

Question

If $Q R S T$ is a square with $S T = (x + 8) c m$ and $Q R = (4 x + 6) c m$ then $Q T =$ _____ cm

26 / 3

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22 / 3

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22

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26

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Solution

The correct option is A $26 / 3$
$Q R = S T Q T = Q R = S T$
$4 x + 6 = x + 8 = 4 (\frac{2}{3}) + 6$
$3 x + = 2 = \frac{8}{3} + 6$
$x = 2 / 3$ $= 26 / 3$
$Q T = 26 / 3$

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