2026 CSS P2 Q10

2026 CSS P2 Q10

Secondary 4
10 marks

Samantha owns a renovation company that specialises in vinyl flooring installation.

A homeowner wishes to replace the flooring in all three bedrooms of the apartment shown below.

  1. Show that the total floor area of the three bedrooms is \(52.35\text{ m}^2\).[3]
  2. Samantha receives the following quotation.
    ItemDescriptionUnit Cost
    Vinyl planks\(0.18\text{ m}\times1.22\text{ m}\)
    12 planks per box
    \(\$68\) per box
    Skirting boards\(2.4\text{ m}\) per piece\(\$8.50\) per piece
    Vinyl planks and skirting boards are sold in whole boxes and by pieces respectively.
    Skirting boards are installed around the perimeter of the three bedrooms, excluding the three bedroom door openings. Each door opening is \(0.8\text{ m}\) wide.
    CostAmount
    Labour\(\$35\) per hour per installer
    Number of installers\(3\)
    Working hours\(8\) hours per day
    Duration\(2\) days
    Total transportation cost\(\$180\)
    Disposal of old flooring\(\$250\)
    Additional information: \(1\text{ m}^2=10.764\text{ ft}^2\).
    Samantha wants to make a \(20\%\) profit. Calculate the minimum price per square foot Samantha should charge.[7]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(a) \(52.35\text{ m}^2\) (shown) (b) \(\$7.76\) per square foot, rounded upwards to cents.

Need help? Join our JC Math tuition classes.

Learn more