The perimeter of a square must be greater than 40 inches but less than 94 inches. Find the range of possible side lengths yay satisfy these conditions.
P = 2L + 2W.
W = L.
P = 2L + 2L = 4L.
20< P < 94.
20< 4L < 94.
Divide by 4:
5< L < 23.5 in.
5< W < 23.5 in.
To find the range of possible side lengths for a square that satisfies the given conditions, we can use the formula for the perimeter of a square, which is 4 times the length of one side.
Let's denote the side length of the square as "s". According to the conditions, the perimeter must be greater than 40 inches and less than 94 inches.
The perimeter of the square is given by the formula: 4s.
Therefore, we can write the following inequalities based on the given conditions:
40 < 4s < 94
To solve these inequalities, we can divide each part of the inequalities by 4:
10 < s < 23.5
Hence, the range of possible side lengths for the square that satisfies the given conditions is greater than 10 inches and less than 23.5 inches.
To find the range of possible side lengths for a square that satisfies the given conditions, you can use the perimeter formula, which is P = 4s, where P represents the perimeter and s represents the side length of the square.
In this case, we know that the perimeter must be greater than 40 inches and less than 94 inches. So we can write two inequalities:
40 < 4s < 94
To solve these inequalities, divide each side by 4:
40/4 < (4s)/4 < 94/4
10 < s < 23.5
Therefore, the range of possible side lengths is greater than 10 inches and less than 23.5 inches.