Using only whole numbers, how can you draw three rectangles with a perimeter of 12 units?
first recall that perimeter of a rectangle is
P = 2(L+W)
where
L = length
W = width
substituting,
12 = 2(L+W)
6 = L+W
now we need to find for positive, nonzero integers whose sum is 6,, the possible values are:
L=5 and W=1
L=4 and W=2
L=3 and W=3 (this is a square but note that square is also a rectangle)
hope this helps~ :)
To draw three rectangles with a perimeter of 12 units using only whole numbers, we can vary the dimensions of the rectangles. The perimeter of a rectangle is calculated by adding the lengths of all four sides together.
Here are three possible ways to draw rectangles with a perimeter of 12 units:
1. Rectangle 1:
Length = 2 units
Width = 4 units
Perimeter = 2(2) + 2(4) = 4 + 8 = 12 units
2. Rectangle 2:
Length = 3 units
Width = 3 units
Perimeter = 2(3) + 2(3) = 6 + 6 = 12 units
3. Rectangle 3:
Length = 1 unit
Width = 5 units
Perimeter = 2(1) + 2(5) = 2 + 10 = 12 units
By varying the length and width of the rectangles, we can create different rectangles with the same perimeter of 12 units.