5th grade coordinate plane lengths and areas worksheets

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Coordinate plane lengths and areas worksheets for 5th grade put points on a grid and ask what they make. Your child finds the length of a side from two coordinates, locates the missing fourth corner of a rectangle, and gives areas in square units. Every grid square is 1 unit. Six problems per sheet, with Easier and Default settings.

Free printable PDF worksheet, aligned to Common Core 5.G.A.1.

Each print is a different sheet with its own answer key. You don't need to sign up.

The kind of problems you'll get

Each grid square is 1 unit. Give coordinates as (x, y), lengths in units and areas in square units.

  1. A rectangle has opposite corners (1, 2) and (5, 5).

    Answer: Width = 5 − 1 = 4 ; height = 5 − 2 = 3 ; area = 12 square units.

Most problems on this sheet sit beside a picture, model or diagram, so this is the worked example the sheet itself prints. The answer key on page two prints the answer under every problem.

Every print pulls a fresh set of problems at this level, so a make-up test or a second sibling never gets the same sheet.

What's on each sheet

Every version prints on US Letter or A4, with its answer key after the problems.

This sheet is one of the versions on the 5th grade coordinate plane page, with its own difficulty choices and its own answer key.

How to teach this

Have your child write the coordinates of both endpoints before finding any length. For a horizontal or vertical side, one coordinate matches and the other differs, and the difference is the length. A side from (1, 2) to (5, 2) is 4 units, because 5 minus 1 is 4. Counting squares works too, and it is the check: count the gaps between the points, not the points themselves, or the answer comes out one too big. For the missing corner of a rectangle, the new point borrows one coordinate from each of its neighbors. For area, the Remember box says to split an odd shape into familiar pieces, find each, and add. Make your child write "units" after a length and "square units" after an area, as the instruction asks. Mixing them up is the fastest sign that length and area got confused.

Watch for: Kids count the dots along a side instead of the gaps between them, so a side from 1 to 5 comes out as 5 units instead of 4. Subtract the coordinates, then count the gaps as a check. Kids give an area in units or a length in square units. A length is a distance along one direction, an area covers squares, and the sheet asks for the unit with every answer.

Common questions about 5th grade coordinate plane lengths and areas

How is this different from the coordinate plane sheet?
The regular sheet reads and plots single points. This one uses the points: two of them make a side with a length, four make a rectangle with an area, and one corner may be missing. It sits under 5.G.A.1 and is the step before 6th grade, where polygons on the grid get areas as a matter of course.
Is there a formula my child needs?
Only subtraction. For a horizontal or vertical side, subtract the coordinates that differ: from (1, 2) to (5, 2) the length is 5 minus 1, so 4 units. The area of a rectangle is width times height, as the sheet's worked example shows: 4 by 3 is 12 square units. The lengths are horizontal or vertical, as the Remember box says.
What settings does the sheet have?
Easier and Default. Six problems either way, and every print draws new points and shapes. Start on Easier if reading coordinates is still slow, since finding a length needs two pairs read correctly before any subtraction.

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Aligned to Common Core 5.G.A.1. Reviewed by the One more sheet team. Content version 241, updated September 2026.

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