A rectangle has a perimeter of 12 m. If each side is a whole number of meters, what are the possible dimensions for the length and width? List them and explain your answer.
P = 2L + 2W
The dimensions could be
5 by 1
4 by 2
3 by 3
What is the perimeter of a rectangle if each side is a whole number of meters,and what are the possible dimensions for the length and width
a rectangle park is 17 meters wide.it is twice as long as it is wide.how far would you travel if you walked one time around the park park?
(A)51 meters
(B)68 meters
C)
A rectangle prak is 17 meters wide.it us twice as long as it is wide. How far would you travel if you walked one time around the entire park?
(A)51 meters
(B)68 meters
(C)102 meters
(D)136 meters
To find the possible dimensions for the length and width of the rectangle, we need to consider that the perimeter of a rectangle is given by the formula:
Perimeter = 2 × (Length + Width)
In this case, the perimeter is given as 12 m. Let's plug this value into the formula:
12 = 2 × (Length + Width)
Divide both sides by 2 to isolate the parentheses:
6 = Length + Width
Now, we need to think about the possible whole number combinations for the Length and Width that add up to 6.
One possible combination is Length = 1 m and Width = 5 m:
6 = 1 + 5
Length + Width = 6
This is a valid solution because both the Length and Width are whole numbers.
Another possible combination is Length = 2 m and Width = 4 m:
6 = 2 + 4
Length + Width = 6
Again, both the Length and Width are whole numbers, making this a valid solution.
A third possible combination is Length = 3 m and Width = 3 m:
6 = 3 + 3
Length + Width = 6
Once again, both the Length and Width are whole numbers, so this is a valid solution.
To summarize, the possible dimensions for the length and width of the rectangle are:
1) Length = 1 m, Width = 5 m.
2) Length = 2 m, Width = 4 m.
3) Length = 3 m, Width = 3 m.
These dimensions satisfy the condition that each side of the rectangle is a whole number of meters and the perimeter is 12 m.