Type:Interactive, Lesson Plan
This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Effect of dimension changes on Area
In this mini-lesson you’ll learn, with the help of several examples and solution, to determine how a change in dimensions in the figure affects the area. It will be explained by instructor using video and in own handwriting.
You know from earlier learnings that the area of a circle changes with the square of its diameter. E.g. doubling the diameter quadruples the area and tripling the diameter makes the area go up by a factor of nine. Now let us compare a case of 12- inch pizza and 14-inch pizza i.e. increase in diameter by 2 inches: the percentage change in radius is 16.7% and percentage change in area is 36.1%. More examples of area of polygons - when the length of a rectangle is tripled and its width stays the same, its area will be three times the original area. Similarly, if one of the diagonals of a rhombus is doubled, its area is doubled. In case of a trapezoid, if the length of parallel sides and the distance between them are all doubled, then the new area becomes 4 times of the original area.
This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Geometry. Click on the video below to go through it. If you like it, you can buy our online course in Geometry by clicking here.
- Mathematics > General
- Mathematics > Geometry
- Education > General
- Grade 9
- Grade 10
- Grade 11
- Grade 12
Keywords:area changes with changes in dimension geometry diameter polygons rectangle length area example geometry learning explainations solution total area times practice questions quizzes
License Deed:Creative Commons Attribution 3.0