Home > Grade Levels > High School Geometry >

Area and Perimeter on the Coordinate Plane

HSG-GPE.B.7
Answer Keys Here

Aligned To Common Core Standard:

Expressing Properties - HSG-GPE.B.7

How to find the Area and Perimeter of a shape on the Coordinate Plane? A coordinate plane is a two-dimensional grid formed by an intersection of perpendicular lines. The horizontal lines are called as the x-axis and vertical lines are called as y-axis intersecting at zero known as the origin We usually use coordinate planes to find the graph and curves, but they can also be used to find the area and perimeter of a shape. Perimeter - The perimeter of the shape is the outline of the shape or distance around the shape. For example, the perimeter of the square is the distance along its all four sides. Similarly, the perimeter of the triangle is the distance along its three sides. You can apply the formula of the perimeter for a particular to find its perimeter or you can also draw the shape on the coordinate plane and count the units of the coordinate plane to find the perimeter. For example, if you are given the shape on the coordinate plane, If you observe the shape closely, it looks like a rectangle. At the bottom, it occupies five unit squares. The top side also takes up five unit squares. The right and left sides of the rectangle are at 4 unit squares. Add up all the measurements to find your perimeter. 5 + 5 + 4 + 4 = 18. So, 18 unit squares is the perimeter of your rectangle Area - The coordinate plane simplifies the calculation of finding the area of a shape, which is the space inside a particular shape. Like in perimeter, you have to count the number of unit squares in order to find this measure of the shape. However, in case of area, you count the number of covered unit squares. In this rectangle, you can observe that the shape is covering 4 rows of 5 unit squares. Add these measurements up; you get 5 + 5 + 5 + 5 = 20. The area of the rectangle is 20 unit squares. This is an excellent selection of worksheets and lessons that have students use the coordinate plane to assist in gauging the area and perimeter of various unknown objects and shapes.

Printable Worksheets And Lessons




Homework Sheets

Use the coordinate system to determine the area of that triangle, square, or triangle.

  • Homework 1 - Use the base to lead you to the answer as needed.
  • Homework 2 - The distance between the vertices Z (8, 8) and W (-10, 8) is the length.
  • Homework 3 - FG is the height; F (-5, -2) and G (-5, -9) has the same xcoordinate. FG is the absolute value of the difference in the ycoordinates of F (-5, -2) and G (-5, -9). So, FG = (-2-(-9)) = 7.



Practice Worksheets

We introduce the use of unique shapes in here.

  • Practice 1 - Finding the unique features of a series of triangles. They have cool labels like PQR.
  • Practice 2 - We move our focus to working with squares and determining where to go with them.
  • Practice 3 - Use the coordinates to count up and down and lefft to right. This will help you scope out the dimensions.



Math Skill Quizzes

While the root problem is still the same, we use a wide variety of shapes to test your skills.

  • Quiz 1 - This quiz will skip through finding measures of all of the shapes we have talked about.
  • Quiz 2 - Many different shapes for you to find the area of.
  • Quiz 3 - This is a nice mix of find both skills. Take your time and show us what you can do.