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The perimeter at a rectangle is 144 cm. It one of the two adjacent sides is 20 cm longer than other, then the lengths of the sides are

  • A.10 cm, 35 cm
  • B.35 cm, 40 cm
  • C.20 cm, 30 cm
  • D.26 cm, 46 cm

Answer: D

The sides are 26 cm, 46 cm.

Half the perimeter, 72 cm, is the sum of two adjacent sides. If the shorter side is x, the other is x + 20:

\[ \begin{aligned} x + (x + 20) &= 72 \\ 2x &= 52,\ x = 26 \end{aligned} \]

So the sides are 26 cm and 46 cm. Check: \(2(26 + 46) = 144\). In each of the other options either the two sides do not differ by 20 cm or they do not add up to 72 cm.

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