The formula for the perimeter of a rectangle is P=2L+2W, where L is the length and W is Width. A rectangle had a perimeter of 34 inches. Find it’s dimensions if it’s length is 7 inches greater than width. The formula for the perimeter of a rectangle is P = 2L+2W,where L is the length and W is the width.A rectangle has a perimeter of 34 inches. Find it’s dimensions of if it’s length is 7 inches greater than it’s width

To solve this problem, we need to express the relationship between the length and width of the rectangle and use the given information about the perimeter to find the dimensions.

Let’s assume that the width of the rectangle is represented by the variable “W”. Since the length is 7 inches greater than the width, we can express the length as “W + 7”.

Using the formula for the perimeter of a rectangle, we can write:

P = 2L + 2W

Substituting the expressions for length and width into the formula, we have:

34 = 2(W + 7) + 2W

Now, let’s simplify the equation and solve for W:

34 = 2W + 14 + 2W

Combine like terms:

34 = 4W + 14

Subtract 14 from both sides:

20 = 4W

Divide both sides by 4:

5 = W

So, the width of the rectangle is 5 inches.

To find the length, we can substitute this value back into the expression for the length:

L = W + 7
= 5 + 7
= 12

So, the length of the rectangle is 12 inches.

Therefore, the dimensions of the rectangle are 12 inches (length) and 5 inches (width).