How to Find a Missing Side
Work backward from the area or the perimeter to find a missing side.
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How to do it
- Write the formula with the numbers you know.
- For area, divide by the side you know.
- For perimeter, subtract the two sides you know and divide by 2.
Teaching tip
Think of the area as a multiplication fact with a blank. This sheet is aligned with Common Core 4.MD.A.3.

About this chart
Worked examples finding a missing length from an area of 48 sq ft and from a perimeter of 30 m.
What kids practice
Perimeter is the distance around a shape, and area is the space inside it. Fourth graders use formulas for rectangles. Perimeter is P = 2 × l + 2 × w, or 4 × s for a square. Area is A = l × w, measured in square units. They also work backward to find a missing side, like a rug with an area of 48 square feet and a width of 6 feet, which is 8 feet long.
Watch for
- Mixing up area and perimeter, especially in word problems.
- Adding only two sides for perimeter, like 8 + 5 = 13 instead of 26.
- Writing perimeter in square units or area in plain units.
- Dividing the perimeter by 4 to find the length of a rectangle that is not a square.
It's free to print, as many copies as you need. See the full area and perimeter guide for 4th grade.
More sheets in this set
- See it all
1. How to Find PerimeterPerimeter of an 8 cm by 5 cm rectangle by adding all four sides and with the formula, plus P = 4 × s for a square.
2. Perimeter of RectanglesRectangles and squares with labeled sides to find the perimeter. More uses sides up to 30.- See it all
3. How to Find AreaArea of an 8 cm by 5 cm rectangle shown as 5 rows of 8 squares and with the formula, plus how to tell area from perimeter.
4. Area of RectanglesRectangles and squares with labeled sides to find the area. More uses sides up to 30.
5. Area and PerimeterRectangles to find both the perimeter and the area.
7. Find the Missing SideRectangles with one missing side to find from the area or perimeter. Fewer uses area only.
8. Area and Perimeter Word ProblemsStories about fences, carpet, frames, rugs, posters, parking lots and tiles.