Draw two different rectangles. Each rectangle should have a perimeter of ten units.
1 by 4
2 by 3
P = 2L + 2W
To draw two different rectangles with a perimeter of ten units, you need to find the length and width of each rectangle.
Let's start by understanding what a perimeter is. The perimeter of a rectangle is the total distance around its edges. It is calculated by adding the lengths of all four sides of the rectangle.
In this case, we have two rectangles with a perimeter of ten units. That means the sum of all four sides of each rectangle must be ten units.
Rectangle 1:
To find one possible rectangle, we can start with assuming one side to be longer and another side to be shorter. Let's say the longer side is 4 units, and the shorter side is 1 unit. Then we can calculate the remaining sides by subtracting the known sides from the perimeter.
Long side = 4 units
Short side = 1 unit
Remaining sides:
Remaining long side = perimeter - long side - short side
= 10 - 4 - 1
= 5 units
Remaining short side = perimeter - long side - short side
= 10 - 4 - 1
= 5 units
So, the first rectangle with a perimeter of ten units can be drawn with sides of 4 units, 1 unit, 5 units, and 5 units.
Rectangle 2:
To find the second rectangle, we can choose different lengths for the sides. Let's assume the longer side is 3 units and the shorter side is 2 units.
Long side = 3 units
Short side = 2 units
Remaining sides:
Remaining long side = perimeter - long side - short side
= 10 - 3 - 2
= 5 units
Remaining short side = perimeter - long side - short side
= 10 - 3 - 2
= 5 units
So, the second rectangle with a perimeter of ten units can be drawn with sides of 3 units, 2 units, 5 units, and 5 units.
Please note that these are just two possible examples, and there could be other combinations of side lengths that would result in rectangles with a perimeter of ten units.