Jayden needs (C) 128 ft² cardboard to make a box.
What are parallelograms?
- A parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides in Euclidean geometry.
- A parallelogram's opposite or facing sides are of equal length, and its opposite angles are of equal measure.
- The congruence of opposite sides and angles is a direct result of the Euclidean parallel postulate, and neither condition can be proven without resorting to the Euclidean parallel postulate or one of its equivalent formulations.
The net is made up of six parallelograms, each representing one of the box's faces.
- Four rectangular faces with dimensions of 6 ft × 4 ft
- The other two faces are square in shape, with side lengths of 4 feet.
The area represented by the net can be used to estimate how much cardboard Jayden will need to make the box.
The calculations are as follows:
- Rectangular faces: length × height = 6 ft × 4 ft = 24 ft²
- Square faces: side length² = (4 ft)² = 16 ft²
So, our rectangles and two squares:
- 4 × 24 ft² + 2 × 16 ft² = 96 ft² + 32 ft² = 128 ft².
Therefore, Jayden needs (C) 128 ft² cardboard to make a box.
Know more about parallelograms here:
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