Cartesian grid area from coordinates

Teaching Transcript

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Find the area of the shape on the Cartesian grid from its coordinates

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To find the width, we notice that the X coordinates go from negative 2 to 3

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So that's a width of 5

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And for the height, the Y coordinates go from negative 4 to 3

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So that's a height of 7

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Our shape is a rectangle, so the area is width times height, which is 35. This approach works for any shape as you can find the dimensions from the grid.

This math skill teaches how to calculate the area of a rectangle on a Cartesian grid using its coordinates. Determine the rectangle's width and height by finding the range of x and y coordinates, respectively, and then multiply these dimensions to find the area.

Skill Practice

Cartesian grid area from coordinates

Test your understanding of cartesian grid area from coordinates by practicing it! Work through the below exercises to use it in practice.

Cartesian Grid - Area (Acute Triangle) to Missing Coordinate - Including Negative

Cartesian Grid - Area (Acute Triangle) to Missing Coordinate - Positive Only

Cartesian Grid - Area (Obtuse Triangle) to Missing Coordinate - Including Negative

Cartesian Grid - Area (Obtuse Triangle) to Missing Coordinate - Positive Only

Cartesian Grid - Area (Parallelogram) to Missing Coordinate - Including Negative

Cartesian Grid - Area (Paralellogram) to Missing Coordinate - Positive Only

Cartesian Grid - Area (Rectangle) to Missing Coordinate - Including Negative

Cartesian Grid - Area (Rectangle) to Missing Coordinate - Positive Only

Cartesian Grid - Area (Right Triangle) to Missing Coordinate - Including Negative

Cartesian Grid - Area (Right Triangle) to Missing Coordinate - Positive Only

Cartesian Grid - Diagram Coordinates to Area (Acute Triangle) - Including Negative

Cartesian Grid - Diagram Coordinates to Area (Acute Triangle) - Positive Only

Cartesian Grid - Diagram Coordinates to Area (Obtuse Triangle) - Including Negative

Cartesian Grid - Diagram Coordinates to Area (Obtuse Triangle) - Positive Only

Cartesian Grid - Diagram Coordinates to Area (Parallelogram) - Including Negative

Cartesian Grid - Diagram Coordinates to Area (Parallelogram) - Positive Only

Cartesian Grid - Diagram Coordinates to Area (Rectangle) - Including Negative

Cartesian Grid - Diagram Coordinates to Area (Rectangle) - Positive Only

Cartesian Grid - Diagram Coordinates to Area (Right Triangle) - Including Negative

Cartesian Grid - Diagram Coordinates to Area (Right Triangle) - Positive Only