This document is a chapter on perimeter and area that begins by defining perimeter and area. It then provides formulas and explanations for calculating the perimeter and area of various shapes, including triangles, quadrilaterals (squares, rectangles, parallelograms, and trapezoids), regular polygons, and circles. The chapter concludes with an exercises section.
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Free powerpoint to teach the topics of Area and Perimeter to elementary school kids aspiring to compete in math contests such as the NLMC and Math Kangaroo
3. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises
Definitions
Alberto Pardo Milan´s
e Perimeter and Area
4. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises
Definitions
Perimeter and Area
The perimeter of a surface is the length of this boundary.
The area of a surface is the amount of material needed to cover it
completely.
Alberto Pardo Milan´s
e Perimeter and Area
5. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises
Triangles
Alberto Pardo Milan´s
e Perimeter and Area
6. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises
Triangles
Area of a triangle
The area of a triangle can be found by multiplying the base times
the one-half the height.
Alberto Pardo Milan´s
e Perimeter and Area
7. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises
Quadrilaterals
Alberto Pardo Milan´s
e Perimeter and Area
8. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises
Quadrilaterals
Area and Perimeter of a Square
The perimeter of a square is the distance around the outside of the
square. A square has four sides of equal length. The formula for
finding the perimeter of a square is 4 times the length of a side.
The area of a square can be found by multiplying the length of a
side times itself.
Alberto Pardo Milan´s
e Perimeter and Area
9. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises
Quadrilaterals
Area and Perimeter of a Rectangle
A rectangle has four sides and four right angles. The formula for
finding the perimeter is 2 times the base plus 2 times the height.
The area of a rectangle can be found by multiplying the base times
the height.
Alberto Pardo Milan´s
e Perimeter and Area
10. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises
Quadrilaterals
Area and Perimeter of a Parallelogram
Parallelograms are quadrilaterals with opposite sides parallel (two
pairs of sides parallel). In a parallelogram opposite sides are
congruent (with the same length). The formula for finding the
perimeter is 2·Side a + 2·Side b. The area of a parallelogram can
be found by multiplying the base times the height.
Alberto Pardo Milan´s
e Perimeter and Area
11. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises
Quadrilaterals
Area of a Trapeziums
A trapezium is a quadrilateral (has 4 sides) and has only one pair
of sides parallel. To determine the area of a trapezoid, first add the
lengths of the 2 parallel sides, then divide by 2, finally multiply this
by the height (distance between the parallel sides).
Alberto Pardo Milan´s
e Perimeter and Area
12. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises
Regular polygons
Alberto Pardo Milan´s
e Perimeter and Area
13. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises
Regular polygons
Area and Perimeter of a Regular Polygon
The perimeter of regular polygon with n sides is n times the lenght
of a side. The area of a regular polygon is the one-half the
apothem times the perimeter.
Alberto Pardo Milan´s
e Perimeter and Area
14. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises
Circles
Alberto Pardo Milan´s
e Perimeter and Area
15. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises
Circles
Area and Circumference of a Circle
The circumference of a circle is the distance around the outside of
the circle. It could be called the perimeter of the circle. The
circumference of a circle can be found by multiplying π by the
diameter of the circle. If you know the radius, the diameter is twice
as large. The area of a circle can be found by multiplying π by the
square of the radius.
Alberto Pardo Milan´s
e Perimeter and Area
16. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises
Exercises
Alberto Pardo Milan´s
e Perimeter and Area
17. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises
Exercises
Exercise 1
Alberto Pardo Milan´s
e Perimeter and Area
18. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises
Exercises
Exercise 1
Alberto Pardo Milan´s
e Perimeter and Area