Algebraic Perimeters

Questions about the perimeters and areas of polygons given as algebraic expressions.

Level 1Level 2Level 3Level 4Exam-StyleDescriptionHelpMore Algebra

This is level 3: mixed questions involving the perimeters of polygons. The diagrams are not drawn to scale.

 Find an expression, in its simplest form, for the perimeter of this heptagon. Find the value of t if the perimeter of the heptagon is equal to 236 units. Find an expression, in its simplest form, for the perimeter of this isosceles triangle. Find the value of t if the perimeter of the triangle is equal to 40 units. If however the perimeter of the triangle was equal to 90 units find the value of t in this case. Find an expression, in its simplest form, for the perimeter of this shape. Find the value of p if the perimeter of the triangle is equal to 252 units. If however the perimeter of this shape was equal to 63 units find the value of p in this case. A square and an equilateral triangle have perimeters of the same size. If the length on one side of the triangle is 4k units, find the length of one side of the square. A regular pentagon and a regular octagon have perimeters of the same size. If the length on one side of the pentagon is 40h units, find the length of one side of the octagon.
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This is Algebraic Perimeters level 3. You can also try:
Level 1 Level 2 Level 4

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Description of Levels

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Level 1 - Simplifying the expressions for the perimeters of basic shapes

Level 2 - Forming and Solving equations from the details of the perimeters of basic shapes

Level 3 - Mixed questions involving the perimeters of polygons

Level 4 - Challenging questions involving the perimeters and areas of shapes

Exam Style Questions - Some problems in the style of GCSE exam paper questions (worked solutions are available for Transum subscribers).

More Algebra including lesson Starters, visual aids, investigations and self-marking exercises.

Area Maze - While not exactly the same topic this exercise is too good to miss.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

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The video above is from the excellent Corbettmaths.

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