The square represents the geometrical figure consisting of four parties of identical length and four right angles, each of which is equal 90 °. Determination of the area or perimeter of a quadrangle, and any, is required not only at the solution of tasks in geometry, but also in everyday life. These abilities can become useful, for example, during repair when calculating the necessary amount of materials - floor coverings, walls or a ceiling and also for breakdown of lawns and beds, etc.
Instruction
1. For determination of the area of a square increase length size by width size. As in a square length and width are identical, the value of one party is enough to be squared. Thus, the area of a square is equal to length of its party squared. Square millimeters, centimeters, decimeters, meters, kilometers can be unit of measure of the area. To determine the area of a square, it is possible to use formuloys = aa where S is the area of a square, and - the party of a square.
2. Example No. 1. The room has the square form. How many laminate (in sq.m) will be required completely to cover a floor if length of one side of the room is 5 meters. Write down a formula: S = aa. Substitute in it the data specified in a condition. As and = 5 m, therefore, the area will be ravnas (rooms) = 5х5 = 25 sq.m, so and S (laminate) = 25 sq.m.
3. The perimeter represents the total length of border of a figure. In a square the perimeter is the length of all four, and identical, the parties. That is, the perimeter of a square represents the sum of all its four parties. To calculate square perimeter, it is enough to know length of one its party. The perimeter is measured in millimeters, centimeters, decimeters, meters, kilometers. For determination of perimeter there is a formula: P = a + and + and + and ilir = 4a, a gder – perimeter, and – length of the party.
4. Example No. 2. For finishing works of the room in the form of a square are required ceiling a plinth. Calculate the total length (perimeter) of plinths if the size of one side of the room is equal 6 meters. Write down formula P = 4a. Substitute in it the data specified in a condition: R (rooms) = 4 x 6 = 24 meters. Therefore, length of ceiling plinths will be equal 24 meters too.