Answer:
P = 30cm
Step-by-step explanation:
Solution 1:
If 10 = 1/3P, then P = 10(3).
10(3) = 30.
Solution 2:
Divide the two numbers to find P.
10 ÷ 1/3
becomes 10(3)
And 10(3) is 30.
Solution 3 (involving width):
We know that the formula for a rectangle's perimeter is 2l + 2w.
So we can use this to check later on. Right now, we need to fill out the equation to find the width of a rectangle when length and perimeter* are known.
*Note that if you were starting new, you would need to find the perimeter before doing this.
The formula for finding the width of a rectangle when length and perimeter are known is: [tex](\frac{1}{2})P - l = w[/tex].
Now insert the known values.
P = 30
l = 10
Now substitute these into the formula.
[tex](\frac{1}{2})30 - 10 = w[/tex]
Now solve (after simplifying).
[tex]15 - 10 = w[/tex]
then becomes
[tex]5 = w[/tex]
Your width would be 5. Now substitute into the equation for perimeter.
2(10) + 2(5)
becomes
20 + 10
which gives us our answer of 30.
With this, we have our dimensions.
l = 10
w = 5
P = 30
Hope this helps. Have a nice day.
