Understanding the Concept of Squaring the Rectangle
Explore the intriguing concept of squaring the rectangle through visual examples and step-by-step explanations. Discover how to construct a square of the same area as a given rectangle while focusing on key elements like the black dot. Engage in a visual journey to grasp this mathematical concept easily.
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Presentation Transcript
Squaring the Rectangle Square Convince yourself that the two quadrilaterals have the same area. Rectangle
Given a rectangle such as this how would you construct the square of the same area? Keep watching to get some clues!
. Focus on the black dot.
. Focus on the black dot.
. Focus on the black dot.
. Focus on the black dot.
. Focus on the black dot.
. Focus on the black dot.
. Focus on the black dot.
. Focus on the black dot.
. Focus on the black dot.
. Focus on the black dot.
. Focus on the black dot.
. Focus on the black dot.
. Focus on the black dot.
. A trace on the black dot might help.
? A ? ? ??.?? = ??.?? ?
x Mid-point of diameter
2 1 1 Construct a square with area equal to the total area of the two quadrilaterals.
How would you determine the value of 6.25 by construction? 2.5 x 1 6.25 1 6.25 = 2.5 2.5 6.25 = 2.52 6.25 = 2.5 2.5
SIC_46 Squaring the Rectangle Square Convince yourself that the two quadrilaterals have the same area. Rectangle Construct the square with area equal to the rectangle below using only a pencil, compass and straight edge.
