There isn't a single pair of length and width for a rectangle with a perimeter of 24; instead, you've got infinitely many combinations that work, like 11 by 1, 10 by 2, 9 by 3, 8 by 4, or even 7.5 by 4.5.
What is a perimeter of 24cm?
A perimeter of 24 cm means the total distance around a shape is 24 centimeters.
This applies to any closed shape where the sum of all sides equals 24 cm—not just rectangles. Picture a square with each side at 6 cm, for instance. To find rectangle dimensions with this perimeter, use P = 2(length + width), which simplifies to length + width = 12. You'll see this in real life when measuring garden fencing or picture frames.
How do you find the length and width of a rectangle when given the perimeter?
Plug the perimeter into P = 2(length + width), then solve for one variable if you know the other.
Say the perimeter is 24 and you know the length is 7. Drop those numbers in: 24 = 2(7 + width). Simplify to 12 = 7 + width, so width = 5. You can rearrange the formula depending on what you already know. Builders and crafters use this all the time to cut materials to exact sizes.
How do you find the perimeter of 24?
If the perimeter is given as 24, you don’t calculate it—you just recognize that 24 is the perimeter value itself.
Want to build a shape with a perimeter of 24? Make sure all sides add up to 24. For a rectangle, set 2(length + width) = 24, or length + width = 12. Then pick any two numbers that add to 12, like 8 and 4.
Which shape has a perimeter of 24?
Any polygon can have a perimeter of 24, from rectangles and squares to triangles—it all depends on the side lengths.
The easiest example? A square with sides of 6 units each. A rectangle could have sides of 7 and 5, or 8 and 4. Even a triangle with sides of 8, 8, and 8 works. The perimeter is just the sum of all sides, so any combination that hits 24 qualifies.
What is the perimeter formula?
The perimeter formula adds up all sides to get the total distance around a shape.
| Shape | Formula | Variables |
|---|
| Square | P = 4s | s = side length |
| Rectangle | P = 2L + 2W | L = length, W = width |
| Triangle | P = a + b + c | a, b, c = side lengths |
| Circle | P = 2πr | r = radius |
These formulas show up everywhere—from drafting blueprints to DIY projects. For weird shapes, just measure every side and add them up.
What is length and width?
Length is the longer side of a rectangle, while width is the shorter side.
These two dimensions define a rectangle’s size. Length is usually the primary measurement, like the longest wall in a room, while width measures how far it stretches across. In practice, they tell you how much space something takes up.
What is a perimeter in math?
The perimeter in math is the total length of the boundary of a 2D shape.
Take a rectangle: its perimeter is the sum of all four sides. You’ll use this when figuring out how much fencing a garden needs or how long trim should be. It’s different from area, which measures the space inside.
How do you find the perimeter of a rectangle without the width?
You can’t find the perimeter without at least one side length—but if you know the perimeter and one side, you can solve for the other.
For example, if the perimeter is 24 and the length is 7, use 24 = 2(7 + width). Simplify to 12 = 7 + width, so width = 5. You always need two pieces of info to find missing dimensions.
What is the length of a rectangle if the perimeter is 24?
The length can vary; for instance, it could be 7.5 inches if the width is 4.5 inches.
Use P = 2(length + width). If width is 4.5, then length = (24/2) - 4.5 = 7.5. Handy for measuring picture frames or tabletops.
Is around the perimeter?
Yes, the perimeter is the distance around the edge of a shape.
Think of walking around a soccer field—that distance is the perimeter. You’ll hear “around” used all the time for fences, trim, or borders.
What is the greatest perimeter of a rectangle with an area of 24?
The greatest perimeter happens when the rectangle is super long and skinny, like a 0.5 by 48 rectangle with a perimeter of 97.
As one side shrinks, the other grows to keep the area at 24, boosting the perimeter. A 1 by 24 rectangle has a perimeter of 50, but a 0.5 by 48 jumps to 97. This comes up in optimization, like cutting material with minimal waste.
How many rectangles can you make with an area of 24?
With whole numbers, you’ve got 4 distinct rectangles: 1×24, 2×12, 3×8, and 4×6.
Go beyond whole numbers, and the options become endless. For practical tasks like tiling or arranging objects, whole-number rectangles are usually the way to go. Need a garden plot? Try 3×8. Photo frame? Go 4×6.
What is the greatest perimeter you can make with a rectangle that has an area of 24 units?
Theoretically, the perimeter can be infinite—just make one side tiny and the other huge.
Stick to whole numbers, though, and the 1×24 rectangle gives the largest perimeter at 50. This illustrates how shape impacts perimeter and area, a concept that pops up in calculus and optimization problems.
