The perimeter of a rectangle equals the sum of the lengths of its four sides. If the width of a rectangle is 4 inches and its perimeter is 36 inches, find the length of the rectangle.

The length of the rectangle is ?

My answer was 144, is this correct?

P = Perimeter

W = Width

L = Length

P = 2 W + 2 L

36 = 2 * 4 + 2 L

36 = 8 + 2 L Subtract 8 to both sides

36 - 8 = 8 + 2 L - 8

28 = 2 L Divide both sides by 2

28 / 2 = 2 L / 2

14 = L

L = 14 in

never mind -worked it out!!

No, your answer of 144 is not correct. Let me explain how to correctly find the length of the rectangle.

To solve this problem, we need to use the formula for the perimeter of a rectangle, which is P = 2 * (length + width), where P represents the perimeter, and length and width represent the dimensions of the rectangle.

In this case, we are given that the width of the rectangle is 4 inches and the perimeter is 36 inches. We can plug these values into the formula and solve for the length.

36 = 2 * (length + 4)

To isolate the length, we can start by dividing both sides of the equation by 2:

36/2 = length + 4

18 = length + 4

Next, we can isolate the length by subtracting 4 from both sides of the equation:

18 - 4 = length

14 = length

So, the correct answer is that the length of the rectangle is 14 inches, not 144 inches.