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Problem of the Week
Problem B
A Stoney Problem

Sela is doing some landscaping, and needs to pave a rectangular space with an area of \(53.5\) m\(^2\). She plans to use paving stones which are \(10\,\)cm by \(20\,\)cm, and so each has an area of \(200\,\)cm\(^2\) each. Note that only whole paving stones will be used.

At the Home Shop, Sela learns that these pavers are sold on pallets of \(1000\) stones, and she must buy complete pallets at \(\$499\) each.

  1. How many stones will she need to cover the \(53.5\,\)m\(^2\) area?

  2. How many pallets will she need to buy?

  3. How many stones will be left on the last pallet Sela uses?

  4. If Sela is able to buy partial pallets, how much would she save if she only bought the paving stones she needed?

A larger rectangle completely covered by smaller 2 by 1
    rectangles, with some placed vertically and some placed horizontally.
    The smaller rectangles form a repeating pattern.

Themes: Geometry & Measurement, Number Sense