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Formula for area of a rectangle7/7/2023 Half the area of a (original piece of paper) rectangle with the same base and height. You need each of these triangular pieces to prove the area of a (white) triangle is Triangle DON'T THROW ANYTHING AWAY! Your goal is to create one "center triangle" (shown in white) and two other 3rd: Throw away the extra pieces of paper (the shaded triangles of the picture above). Trapezoid Make the Trapezoid Make a trapezoid from a rectangular sheet of paper in the following way: 1st: On one edge, mark an arbitrary points A and B and draw line segments to indicated opposite vertices. 4th: Throw away the extra pieces of paper (the shaded triangles of the picture above). Again draw a line segment from A to the indicated opposite vertex. On it so that the distance from the edges are the same. 2nd: Repeat this on the opposite edge: mark point A on the edge parallel to the edge with A already marked Parallelogram Make the Parallelogram Make a parallelogram from a rectangular sheet of paper in the following way: 1st: On one edge, mark an arbitrary point A and draw a line segment to the indicated opposite vertex. The height is the number of squares "high." The base times the height is the number of squares, the area. The base is the number of squares across the "bottom". To compute the area, one must find the number of squares. Understanding each of these paper-folding proofs of area.Īrea means number of square units. Rectangle Understanding why the area of a rectangle is base time height is the key to The rectangle and the parallelogram must be done before the trapezoid. The rectangle must be discussed before the triangle. The rectangle must be discussed before the parallelogram. Reason "length times width" or "base times height" yields area is because it supplies the number of squares covered. It is important to review the definition of area as the number of square units and to remind students that the These proofs need not be done at the same time. Procedure Review area, area of a rectangle, properties of a rectangle such as parallel Review at least as much about area as is discussed in Point out that opposite sides of a rectangle are parallel. descriptions and vocabulary for the circle and each.a sheet of rectangular paper for each of the followingįormulas: parallelogram, trapezoid, triangle,.Objective To prove each of the area formulas by paper folding and/or cutting.
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