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The side of a rhombus is 10cm long, correct to the nearest whole number. Between…

The side of a rhombus is 10cm long, correct to the nearest whole number. Between what limits should the perimeter P lie?

  • A.
    39cm ≤ P ≤41cm
  • B.
    38cm ≤ P
  • C.
    38.5 ≤ P ≤ 41.5cm
  • D.
    38.5 ≤ P ≤ 40cm
Correct Answer: Option B
Explanation

If the side = 10 cm, correct to the nearest whole number, then

The side ranges from 9.5 cm to 10.5 cm. (9.5 (leq) s < 10.5)

Perimeter of a rhombus = 4 x side

(therefore) 4 x 9.5 (leq) perimeter < 4 x 10.5

= 38 cm (leq) P < 42 cm