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Partition shapes into halves

Partitioning a shape into halves means dividing one whole into two parts with equal area, so each part represents one of two equal shares, or one-half (½), of the whole. The parts may look different or be oriented differently, but visual size alone does not determine equality; this understanding connects equal-area reasoning to fractions and measurement.

Detailed Explanation: Partition shapes into halves

To partition a shape into halves, divide the whole shape into two parts with the same area. Each part is one-half, written as 12\frac{1}{2}.

Example: Partition a rectangle that is 66 units long and 44 units wide.

  1. Find the whole area:
6×4=24 square units6 \times 4 = 24\text{ square units}
  1. Split the whole area into two equal parts:
24÷2=12 square units24 \div 2 = 12\text{ square units}

  1. Draw a line across the middle of the rectangle so that each smaller rectangle is 66 units long and 22 units wide.

  2. Check each part:

6×2=12 square units6 \times 2 = 12\text{ square units}

Both parts have an area of 1212 square units, so they are equal. Each part is 12\frac{1}{2} of the whole rectangle.

The two halves do not have to look different or special—the important thing is that they have equal area.

Learn by doing: Partition shapes into halves

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