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• parallelogram: base = 10 units, height = 4 units • rectangle: length …

Question

  • parallelogram: base = 10 units, height = 4 units
  • rectangle: length = 10 units, width = 4 units
  • area of rectangle = 40 square units
  • area of parallelogram = 40 square units
  • complete the statements.
  • the base and height of the parallelogram are ____ the length and width of the rectangle.

options: the same as, different from

Explanation:

Step1: Recall the formula for the area of a parallelogram

The area of a parallelogram is given by \( A = base \times height \). Here, the base is 10 units and the height is 4 units. So, \( A = 10 \times 4 \).

Step2: Calculate the area

\( 10\times4 = 40 \) square units.

Step3: Analyze the base and height of the parallelogram compared to the rectangle

The rectangle has length 10 units (same as the parallelogram's base) and width 4 units (same as the parallelogram's height). So the base and height of the parallelogram are the same as the length and width of the rectangle.

Answer:

The area of the parallelogram is 40 square units. The base and height of the parallelogram are the same as the length and width of the rectangle.