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

MATHEMATICS
WAEC 1999

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 < 42cm
  • C. 38.5cm ≤ P ≤ 41.5cm
  • D. 38.5cm ≤ P ≤ 40cm

Correct Answer: B. 38cm ≤ P < 42cm

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



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