Area and Perimeter Formulas, Definition and Examples

Calculating the Area and the Perimeter

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.

The perimeter, P, is:

P=x+x+y+y
P=2x+2y
P=2(x+y)

Calculating the Area and the Perimeter


Example

Find the perimeter of this rectangle:

figure07

P=7+7+4+4

P=27+24

P=2(7+4)

P=211

P=22in


The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square.

figure08

Area, A, is x times y.

A=xy


Example

Find the area of this square.

figure09

A=xy

A=55

A=25in^2


There are different units for perimeter and area The perimeter has the same units as the length of the sides of rectangle or square whereas the area’s unit is squared.

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