The length of a rectangle is four times its width.If the perimeter of the rectangle is 80 cm, find its length and width.

Sure, let's solve this step by step.

Step 1: Let's denote the width of the rectangle as x. Therefore, the length of the rectangle is 4x.

Step 2: The formula for the perimeter of a rectangle is 2*(length + width). In this case, the perimeter is given as 80 cm. So, we can set up the equation as follows: 2*(4x + x) = 80.

Step 3: Simplify the equation. This gives us 2*5x = 80.

Step 4: Divide both sides of the equation by 10 (2*5). This gives us x = 8.

Step 5: Now that we have the width (x), we can find the length by multiplying the width by 4. So, the length is 4*8 = 32.

So, the width of the rectangle is 8 cm and the length is 32 cm.