The perimeter of square A is 81 inches. The length of each side of square B is 1 inch less than the length of each side of square A. One side of square B is ___ inches in length.
Let's start by finding the length of each side of square A. Since a square has all sides equal in length, we can find the length of each side by dividing the perimeter by 4.
The perimeter of square A is given as 81 inches.
So, the length of each side of square A can be found by dividing the perimeter by 4:
Length of each side of square A = Perimeter / 4 = 81 inches / 4 = 20.25 inches.
Now, let's find the length of each side of square B. We are given that the length of each side of square B is 1 inch less than the length of each side of square A.
Length of each side of square B = Length of each side of square A - 1 inch
= 20.25 inches - 1 inch
= 19.25 inches.
Therefore, one side of square B is 19.25 inches in length.
To find the length of one side of square B, we need to find the length of one side of square A first.
The formula for the perimeter of a square is 4 times the length of one side. Therefore, if the perimeter of square A is 81 inches, we can divide it by 4 to find the length of one side of square A.
81 inches ÷ 4 = 20.25 inches
So, each side of square A is 20.25 inches.
Now, we can find the length of one side of square B by subtracting 1 inch from the length of one side of square A.
20.25 inches - 1 inch = 19.25 inches
Therefore, one side of square B is 19.25 inches in length.
Sq. A = X in, each side.
Sq. B = x-1 in, each side.
x+x+x+x = 81.
4x = 81
X = 20.25 in.
x-1 = 20.25 - 1 = 19.25 in.