Curriculum placement
Geometry. This describes the skill, not a learner estimate.
Perimeter and area from coordinates
Use coordinates to compute polygon perimeters and areas
Problem types
- Perimeter and area from coordinates
- Area or perimeter of a tilted rectangle
Builds on
- Distance in the coordinate plane
- Area of triangles and other polygons
- Area and volume of composite figures · Useful idea
A composite shape on a grid has its area found by splitting it into pieces whose sides are read from coordinates.
- Side lengths from coordinates · Earlier idea
Side lengths found from coordinates extend to the perimeter and area of any polygon given by its vertices.
Leads to
- Designs that meet geometric constraints · See it applied
Designing a figure on a coordinate plane needs its vertices to give the required lengths and areas.
- Operations on matrices · See it applied
The area of a parallelogram or triangle with vertices on a grid is found from a determinant of the side vectors.
Related skills
- Vectors and their components · Related idea
The side lengths of a polygon on a grid are the lengths of the vectors between its vertices.
- Equations of circles · Shared foundations
- Proofs that use coordinates · Shared foundations
- A parabola as points equally far from a focus and a line · Shared foundations
- Polar and Cartesian coordinates · Shared foundations
Open the interactive map to explore lessons and skill connections.