Length

Definitionnoun

What is length in math?

Length is how long something is: the distance from one end of an object to the other. You measure it by counting equal units laid end to end with no gaps or overlaps, such as inches, feet, centimeters or meters. A new pencil is about 7 inches long.

In Spanish
longitud
Also called
how long, long, distance from end to end
Grade level
K-5
Grade 1Grade 2Grade 3Grade 4CCSS 1.MD.A.2CCSS 2.MD.A.1CCSS 2.MD.A.3TABEGED

Length in a picture

Measuring length with a rulerTop: a pencil lined up with the 0 mark of an inch ruler ends at 6, so it is 6 inches long. Bottom: a ribbon from the 2 mark to the 7 mark is 7 minus 2, or 5 inches long, not 7.Start at 0: read the end markpencil: 6 inches012345678Not at 0: subtract the marksribbon0123456787 − 2 = 5 inches (not 7)
When an object starts at 0, the end mark is its length. When it starts somewhere else, subtract the start mark from the end mark.

Formal definition and notation

The length of an object or a line segment is the number of identical length units that span it end to end, with no gaps or overlaps, including any fraction of a unit left over. Length is one-dimensional: it has a number and a unit, but no area. In a rectangle, length usually names the longer side and width the shorter side; for a curved path, length is measured along the curve.

Symbol Read it as Meaning
ℓ or L ell, or capital L a variable for length in formulas, as in A = ℓ w for the area of a rectangle
in, ft, yd, mi inches, feet, yards, miles customary (US) units of length
mm, cm, m, km millimeters, centimeters, meters, kilometers metric units of length

Key facts

  • To measure with a ruler, line one end of the object up with the 0 mark and read the mark at the other end.
  • If an object does not start at 0, subtract: an edge from the 3 cm mark to the 10 cm mark is 10 − 3 = 7 cm long.
  • A length always needs a unit. “5” alone is not a length; 5 feet and 5 meters are very different.
  • Common equivalents: 12 inches = 1 foot, 3 feet = 1 yard, 100 centimeters = 1 meter, 1 inch = 2.54 centimeters exactly.
  • Length, width, height and depth are all lengths measured in different directions.

How a length measurement works

How a length measurement works
length = (number of units) × (size of one unit)
number of units
how many copies of the unit fit end to end
size of one unit
the unit you chose, such as 1 inch or 1 centimeter

The same length gives a bigger number with a smaller unit: 2 feet is 24 inches, because an inch is smaller than a foot.

Try it: one length, many units

Interactive

Type a length, then choose two metric units. The length stays the same; only the number and unit change.

This interactive needs JavaScript. The worked examples below show the same ideas step by step.

Length examples, step by step

Example 1: Reading a ruler that does not start at 0

Warm-up

A crayon lies along a centimeter ruler from the 3 cm mark to the 12 cm mark. How long is the crayon?

  1. The crayon does not start at 0, so subtract the start mark from the end mark.
  2. 12 − 3 = 9.

Answer: The crayon is 9 cm long.

Example 2: Comparing lengths in different units

Core

Ribbon A is 3 feet long. Ribbon B is 30 inches long. Which ribbon is longer, and by how much?

  1. Use the same unit for both. 1 foot = 12 inches.
  2. Ribbon A: 3 × 12 = 36 inches.
  3. Compare: 36 inches is more than 30 inches.
  4. Difference: 36 − 30 = 6 inches.

Answer: Ribbon A is longer, by 6 inches.

Example 3: Finding a missing length

Test-style

A rectangular garden has a perimeter of 46 meters. Its width is 8 meters. What is its length?

  1. Perimeter of a rectangle: P = 2ℓ + 2w.
  2. Substitute: 46 = 2ℓ + 2 × 8 = 2ℓ + 16.
  3. Subtract 16: 2ℓ = 30.
  4. Divide by 2: ℓ = 15.

Answer: The length is 15 meters.

Common mistakes

✗ MistakeLining the object up with the 1 mark (or the edge of the ruler) and reading the end: a 4-inch eraser placed at 1 reads as 5 inches.
✓ InsteadLine the end up with 0, or subtract: 5 − 1 = 4 inches.

A length counts the units between the two ends. Starting at 1 adds an extra unit that the object does not cover.

✗ MistakeMeasuring with paper clips that overlap or leave gaps and counting 6 clips.
✓ InsteadLay the clips end to end with no gaps and no overlaps, then count.

Each unit must touch the next one exactly. Gaps make the count too small; overlaps make it too big.

✗ MistakeAdding lengths with different units: 2 ft + 5 in = 7 ft.
✓ InsteadChange to one unit first: 2 ft = 24 in, so 24 in + 5 in = 29 in (or 2 ft 5 in).

Only like units can be added. Feet and inches are different sizes.

✗ MistakeWriting the answer as just a number: the table is 150.
✓ InsteadWrite the unit: the table is 150 cm long.

Without a unit, a length has no meaning: 150 cm and 150 m are very different.

Not to be confused with

Lengthvs.Width

Width is also a length, but measured across, usually the shorter side of a rectangle. A 9 by 4 rectangle has length 9 and width 4.

Lengthvs.Perimeter

Perimeter is the total length all the way around a shape. A 9 by 4 rectangle has length 9 but perimeter 9 + 4 + 9 + 4 = 26.

Lengthvs.Area

Area counts square units inside a flat shape, so its unit is squared (cm²). Length counts units along a line (cm).

Quick check: 3 questions

Question 1 of 3

A key lies on a ruler from the 4 cm mark to the 10 cm mark. How long is the key?

Show answer and explanation

Answer: B. Subtract the marks: 10 − 4 = 6 cm. 10 cm reads only the end mark, 14 cm adds the marks, and 7 cm counts the tick marks instead of the spaces between them.

Question 2 of 3

Which is the longest length?

Show answer and explanation

Answer: A. Change all to inches: 3 feet = 36 in, 1 yard = 36 in, and 100 cm is about 39.4 in (100 ÷ 2.54). So 40 inches is the longest. Comparing only the numbers (100 is biggest) ignores the units.

Question 3 of 3

A rope is 5 feet 4 inches long. What is its length in inches?

Show answer and explanation

Answer: C. 5 feet is 5 × 12 = 60 inches, plus 4 inches gives 64 inches. 54 writes the digits side by side, 9 adds 5 + 4, and 20 multiplies 5 by 4.

Length: frequently asked questions

Is length the same as distance?

Nearly. Both measure how far it is from one point to another, in the same units. We usually say length for an object (a 2-meter board) and distance for the space between two places or points (the distance from home to school). On a number line, the distance between 3 and 11 is 11 − 3 = 8, which is also the length of that segment.

Which side of a rectangle is the length?

By habit, the length is the longer side and the width is the shorter side, so a 12 by 5 rectangle has length 12 and width 5. This is a naming convention, not a rule of math: the area ℓ × w and the perimeter come out the same if you swap the names. When a problem names the sides, follow its labels.

What units are used to measure length?

In the US customary system: inches, feet, yards and miles. In the metric system: millimeters, centimeters, meters and kilometers. Pick a unit that fits the object: millimeters for an ant, centimeters or inches for a book, meters or feet for a room, kilometers or miles for a trip.

Practice and tools

Sources

  1. Common Core State Standards, Grade 1 Measurement and Data (1.MD.A.2)
  2. Common Core State Standards, Grade 2 Measurement and Data (2.MD.A.1, 2.MD.A.3)
  3. NIST, SI Units: Length

Updated November 2026·Reviewed by the Effortless Math team·Standards: CCSS 1.MD.A.2, CCSS 2.MD.A.1, CCSS 2.MD.A.3

Cite this entry

Effortless Math Team. “Length.” Effortless Math Dictionary. Updated November 2026. https://www.effortlessmath.com/math-dictionary/length/

Flashcard

TermLengthhow long, end to end
DefinitionThe distance from one end of an object to the other, counted in equal units such as inches or centimeters. A pencil from 0 to 7 on a ruler is 7 inches long.
Study the full deck

Browse all terms in the Math Dictionary · More measurement terms · Random term