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This pre-algebra math tutorial from NutshellMath offers introductory homework help in finding the perimeter and area of shapes and polygons. Perimeter and area are important concepts both as basic topics in geometry, and as an introduction to the use of algebraic formulas in problem solving.


As the tutorial defines, perimeter is the distance around all sides of an object. For polygons, this is the sum of the length of all sides. For circles, the perimeter is called the circumference, and is equal to the product of pi, a constant, and the diameter. The teacher presents other formulas for special quadrilaterals which can make calculating the perimeter easier. In finding the perimeter it is necessary to identify all side lengths of a polygon and sum them. It is also possible to use a formula for perimeter, such as the one for the circumference of a circle and plug in known values for the variables and then solve.

Area is the amount of space enclosed by a shape. Area can be calculated by using various formulas specific to the shape in question. This tutorial presents these formulas and offers examples of how to use them. In order to solve for area using a formula, it is necessary to first identify important dimensions of the shape, such as the length of the base or the height, and then plug those dimensions in for the appropriate variables into the formula specific for the shape.

Learning to find values necessary to use a formula is a valuable algebraic skill. Perimeter and area are concepts that will offer both practice in working with formulas and also an introduction to topics in geometry.