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Questions and Answers

What is the formula for calculating the perimeter of a square?

4 * side length (correct)

2 * (length + width)

side length * side length

(length + width) / 2

If a square has a perimeter of 20 units, what is the length of each side?

4 units

8 units

10 units

5 units (correct)

How does the perimeter of a rectangle change if its length is doubled and width remains the same?

Halves

Doubles

Remains the same (correct)

Increases by the sum of length and width

What is the formula for calculating the perimeter of a square?

4 * side length Signup and view all the answers

If a rectangle has a length of 6 units and a width of 4 units, what is its perimeter?

24 units Signup and view all the answers

If the perimeter of a square is 40 units, what is the length of each side?

10 units Signup and view all the answers

Study Notes

Perimeter of a Square

The formula to calculate the perimeter of a square is P = 4s, where P is the perimeter and s is the length of one side.
For a square with a perimeter of 20 units, each side length can be found by rearranging the formula: s = P/4, which results in s = 20/4 = 5 units.
If the perimeter of a square is 40 units, the side length is calculated similarly: s = 40/4 = 10 units.

Perimeter of a Rectangle

The perimeter of a rectangle is calculated using the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
If the length of a rectangle is doubled while the width remains constant, the new perimeter is calculated as follows:
- Original perimeter: P = 2(l + w)
- New perimeter after doubling the length: P' = 2(2l + w) = 4l + 2w, indicating an increase in perimeter.
For a rectangle with a length of 6 units and a width of 4 units, the perimeter is P = 2(6 + 4) = 2(10) = 20 units.