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Solve array and area multiplication problems

Rectangular arrays and rectangles tiled with unit squares represent equal groups: the number of rows and columns, or the length and width, are factors, and the total objects or square units is their product. The learner can determine a missing factor or product in whole-number situations, understand that turning an array preserves its total, and distinguish area from perimeter or from measuring only one dimension, using whole-number dimensions and products within the taught range rather than fractional or generalized algebraic cases.

Detailed Explanation: Solve array and area multiplication problems

An array or a rectangle tiled with unit squares has equal groups.

  • The number of rows tells how many groups there are.
  • The number in each row, or the number of columns, tells how many are in each group.
  • Multiply to find the total.

Example: A rectangle is 44 squares long and 66 squares wide. How many unit squares cover it?

  1. Identify the factors:
4 rowsand6 squares in each row 4 \text{ rows} \quad \text{and} \quad 6 \text{ squares in each row}
  1. Multiply:
4×6=24 4 \times 6 = 24
  1. Include the unit:
24 square units \boxed{24\text{ square units}}

So, the rectangle has (24)(24) unit squares of area. Turning the rectangle does not change the total, so (6×4)(6 \times 4) also equals (24)(24). Do not add the side lengths; adding them would help find perimeter, not area.

Learn by doing: Solve array and area multiplication problems

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    Area of a Rectangle (sides below 10) - Image with Grid to Area

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