What is the numerical value of side when the perimeter and area of a square are numerically equal?
4 units
Hence, the side of the square is 4 units.
Is the area of a square the same as the perimeter?
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.
Can the perimeter be more than the area?
The perimeter is always bigger except for one (Shape G). The area and perimeter are the same. The same happened if there you have a rectangle that has a length of 6 and a width of 3. Table 3 (they didn’t give their school) looked at finding a shape which has a perimeter numerically twice the area.
How do you find out the perimeter of a square from the area?
Perimeter of Square Using Area of Square
- Step 1: Note down the area of square.
- Step 2: Calculate the side length using the area, Side = √area.
- Step 3: Multiply this obtained value of side length, (√area) by 4 and express the answer in units, Perimeter = (√area) × 4 = 4√area units.
Can a square have the same numerical value for its perimeter and area?
But in order to engage in the problem at all, students must ignore another property of length and area measure: the units differ in dimension and so, though the perimeter and area can “have the same numerical value,” perimeter and area can’t be “equal.” You may need, at times, to make clear that it is permitted to look …
What will be the length of the side of a square if it’s area and perimeter are same?
If the perimeters of a square and rectangle are equal, then: 4s = 2(l+w), where s is the side length of the square (since all sides are equal), and l and w are length and height.
Is there a relationship between the area and perimeter?
There is no direct relationship between the perimeter of a rectangle and its area. Each of these rectangles has a different perimeter (24 units, 18 units and 42 units respectively). You would need to know a combination of any two of the following: length, width, perimeter, area.
Is the area of a square always bigger than the perimeter?
Any rectangle will always have more of these blocks exposed to the outside than a square of the same area. This proves that a rectangle will always have a larger perimeter than a square with the same area. This implies that if a rectangle and a square have the same perimeter, the rectangle must have a smaller area.
Does greater perimeter mean greater area?
The short answer: given the same perimeter, a regular figure with more sides will cover more area.
What is the perimeter of the square in Figure 1?
4
Since all sides of a square are equal, we only need one side to find its perimeter. The perimeter of the given square is: a + a + a + a = 4 a units. Hence, the formula of the perimeter of a square = 4 × (length of any one side).
What is the rule of area of square?
Answer) In other words, the area of a square is the product of the length of each side with itself. That is, Area A = s x s where s is the length of each side of the square. For example, the area of a square of each side of length 8 feet is equal to 8 times 8 or 64 square feet.