Our Math Holiday is rectangle day. Rectangle day was made long ago when the definition of a rectangle was developed. French, from Medieval Latin r ctangulum, a right triangle, from Late Latin r ctiangulum. Rectangles are defined as a four-sided plane figure with four right angles, or a parallelogram with four right angles. People celebrate this exciting holiday on the 4 th of July. Why is that? It is because on the 4 th of July many people show that they are patriotic and people hang American flags all over the place.
American flags are made of mostly rectangles and since the flag is so important, rectangle day was made a holiday too. On rectangle day all the food that you eat has to be rectangular of course. Foods like rectangular sandwiches, ice-cream sandwiches, graham crackers, club crackers, brownies, fudge, rice crispy treats, and lots of chocolate bars. You have to do the rectangle dance, instead of the square dance. Also on rectangle day you have to use rectangular shapes way more than you would usually would. Most people should already know this, and if you do, I! m going to say it anyway.
To find the perimeter of a rectangle, you use the equation: P = 2 (L+W).
To find the area of a rectangle, you use the equation: A = LW. ! ^0 L! +/- is the length, and! ^0 W! +/- is the width. Rectangles also make up a shape known as a rectangular prism. Rectangular prisms are 3-Dimensional shapes constructed of rectangles.
They have 6 faces, 8 vertices, and 12 edges. To find the volume of a rectangular prism, you use the formula: V = LH. At each vertex there are three 90 ca angles, for a total of 270 ca. To find the sum of the defects for all the vertices of a rectangular prism, you first find the defect at each vertex.
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So 360 ca – 270 ca = 90 ca. Now since a rectangular prism has eight vertices, the sum of the defects is 8 (90 ca) = 720 ca. Rectangles also have each of the three properties of isosceles trapezoids listed in Theorem 3. 3. The theorem states that in an isosceles trapezoid: (1) the legs are equal in measure, (2) the diagonals are equal in measure, and (3) the two angles at each base are equal in measure. You can use this theorem along with other ones in a proof to help show that a polygon is a rectangle.
Throughout history, the ratio for length to width of rectangles of 1. 61803 398874989484820! | has been used all of the time. This ratio was named the golden ratio by the Greeks. In the world of mathematics, the numeric value is called “phi”, named for the Greek sculptor Phidias.
To find Phi, you do (1+sqrt{5}) /2. A geometrical figure that is commonly associated with Phi is the Golden Rectangle. The rectangles two adjacent sides or length / width are in proportion to the Golden Ratio. It has been said that the Golden Rectangle is the most pleasing rectangle to the eye. If you have a Golden Rectangle and you cut a square off it so that what remains is a rectangle, that remaining rectangle will also be a Golden Rectangle. You can keep cutting these squares off and getting smaller and smaller Golden Rectangles..
