The width of a rectangle is 10 inches less then it's length if the perimeter of the rectangle is 36 inches what is its Width in inches?
To find the width of the rectangle, we need to set up an equation based on the given information.
Let's assume that the length of the rectangle is L inches. According to the problem, the width of the rectangle is 10 inches less than its length. Therefore, the width can be expressed as L - 10 inches.
The formula for the perimeter of a rectangle is given by P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
We are given that the perimeter is 36 inches, so we can substitute these values into the equation: 36 = 2L + 2(L - 10).
Let's solve for L:
36 = 4L - 20
4L = 56
L = 14
Now we know that the length of the rectangle is 14 inches. To find the width, we substitute this value back into the equation for the width: W = L - 10 = 14 - 10 = 4.
Therefore, the width of the rectangle is 4 inches.
P = 2L + 2W
36 = 2L + 2(10)
36 = 2L + 20
16 = 2L
? = 2