Maths · Distance formula, sections formula, locus and its equation

A table cover is spread on a table top. If of the cover hangs all around the tab

A table cover \( 6 m \times 3 m \) is spread on a table top. If \( 25 \mathrm{cm} \) of the cover hangs all around the table then the cost of polishing the table @ Rs \( 12 m^{2} \) is

  • A. \( R s 165 \)
  • B. \( R s 175 \)
  • C. \( R s 180 \)
  • D. \( R s 195 \)

Step-by-step solution

The cover dimensions are 6 m by 3 m. With 25 cm (0.25 m) hanging on each side, the table top dimensions are reduced by 0.5 m in both length and breadth: length = 6 - 0.5 = 5.5 m, breadth = 3 - 0.5 = 2.5 m. Area of table top = 5.5 × 2.5 = 13.75 m². Cost = 13.75 × 12 = Rs 165.
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