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Part a: What are the remaining steps to complete the construction of the square?

User Bpiec
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Final answer:

To construct a square, use a ruler and protractor to draw a side, then draw three more sides at right angles, ensuring they are all of equal length, and the angles are 90 degrees. The perimeter of a square is 4 times one side's length, and the area is the square of the side's length.

Step-by-step explanation:

To complete the construction of a square, assuming one is provided with the length of one side, the remaining steps would include:

  • Using a ruler and a protractor, draw one side of the square with the given length.
  • At each end of the first line, use the protractor to measure and draw two lines at a 90-degree angle to the first line, ensuring these lines are of the same length as the first.
  • Complete the square by drawing the fourth side, connecting the ends of the two 90-degree lines drawn in step 2, which should be parallel to the first side.
  • Check that all angles are right angles (90 degrees) and that all sides are equal in length, confirming the shape is a square.

The formula given in the question, P=2l+2w, is typically used to calculate the perimeter of a rectangle. However, for a square, since all sides are equal, the perimeter is simply 4 times the length of one side (P=4a). Additionally, the area of a square is the length of one side squared (A=a²).

User GiantDuck
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