We found that the
6 by 3 rectangle
works, because 6+3+6+3=18 and 6×3=18, so this has equal area and perimeter. But if both the length and the width are odd, then the area will be odd, meaning that it is impossible for the perimeter to be the same as the area.
What shape has the same area and perimeter?
A two-dimensional equable shape (
or perfect shape
) is one whose area is numerically equal to its perimeter. For example, a right angled triangle with sides 5, 12 and 13 has area and perimeter both have a unitless numerical value of 30.
Will a square always have the same area and perimeter?
The perimeter will always be even
, because the length is multiplied by 2, making it even, and is added to the width which has been multiplied by 2, also making it even. But if both the length and the width are odd, then the area will be odd, meaning that it is impossible for the perimeter to be the same as the area.
Can a square and rectangle have the same area?
A square and rectangle have the same area. The length of the rectangle is five inches more than twice the length of the side of the square. The width of the rectangle is 6 inches less than the side of the square.
What is the perimeter formula?
| Table 1 . Perimeter Formulas | Shape Formula Variables | Square P= 4s s is the length of the side of the square. | Rectangle P=2L+2W L and W are the lengths of the rectangle’s sides (length and width). | Triangle a+b+c a,b , and c are the side lengths. |
|---|
Does perimeter increase with area?
The perimeter
always increases
if we increase the area of square or rectangle.
How do you find the area of a square of a rectangle?
To find the area of a rectangle,
multiply its height by its width
. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
What is the area of a square and rectangle?
Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is:
A = L * W
where A is the area, L is the length, W is the width, and * means multiply.
What is the area and perimeter of square?
Answer: The area of a square is equal to the square of the length of its side and the perimeter of
the square is 4 times the length of its side
. Let the length of the side of a square be ‘a’ units. Explanation: The area of the square = a2 square units. The perimeter of the square = 4a units.
What is a perimeter in math?
The perimeter is
the total measurement of all the edges of a shape
e.g. a triangle has three edges, so its perimeter is the total of those three edges added together. … The perimeter of a rectangle can be calculated by adding the length and width together and doubling it.
How do you introduce perimeter and area?
- Make an area and perimeter anchor chart. Start with an anchor chart! …
- Decorate your classroom. …
- Snack while you learn. …
- Pull out the pattern blocks. …
- Read Spaghetti and Meatballs for All! …
- Draw a Perimeter Person. …
- Make a math mosaic. …
- Explore area and perimeter with LEGO bricks.
How do you find the perimeter with the area?
To get the perimeter from the area for a square,
multiply the square root of the area times 4
. Perimeter is always measured in linear units, which is derived from the area’s square units.
How do you teach the same perimeter and area?
In this lesson you will learn that
rectangles
can have the same perimeter but different area by building rectangles and organizing information in a chart. CCSS.
What is the square of a rectangle?
A square is a special kind of closed figure
with four straight sides and four right angles that also has sides that all have equal length
. Therefore, we can conclude that: A Square is a special kind of rectangle. Every Square is a rectangle, but not every rectangle is a square.
