The perimeter of a square must be greater than 104 inches but less than 150 inches. Find the range of possible side lengths that satisfy these conditions. (Hint: the perimeter of a square is given by P=4s, where s represents the length of a side).
104/4 = 26 This can't be the answer.
What are the other multiples of 4 after 104?
To find the range of possible side lengths, we can use the formula for the perimeter of a square.
Given: P > 104 and P < 150
From the formula P = 4s, where P represents the perimeter and s represents the side length, we can solve for s:
104 < 4s < 150
Divide both sides of the inequality by 4:
104/4 < s < 150/4
26 < s < 37.5
Therefore, the range of possible side lengths is greater than 26 inches but less than 37.5 inches.
To find the range of possible side lengths for the square, we can use the formula for the perimeter of a square, which is P = 4s, where s represents the length of a side.
Given that the perimeter must be greater than 104 inches, we can write the inequality as follows:
4s > 104
To solve for s, we divide both sides of the inequality by 4:
s > 104/4
s > 26
So, the side length must be greater than 26 inches.
Now, let's consider the condition that the perimeter must be less than 150 inches:
4s < 150
To solve for s, we divide both sides of the inequality by 4:
s < 150/4
s < 37.5
Since we are dealing with side lengths, which are usually measured in whole numbers, we round down to find the largest whole number that is less than 37.5:
s < 37
So, the side length must be less than 37 inches.
Therefore, the range of possible side lengths that satisfy the given conditions is:
26 < s < 37