A rectangle's length and width are in a ratio of 9:1. The area is 225 square millimeters. What are the length and width?length  = millimeterswidth  = millimetersSubmit

Step 1: Understand the problem The problem is asking to find the length and width of a rectangle. We know that the ratio of the length to the width is 9:1 and the area of the rectangle is 225 square millimeters.

Step 2: Use the formula for the area of a rectangle The formula for the area of a rectangle is A = lw, where A is the area, l is the length, and w is the width.

Step 3: Set up the equation We know that the length is 9 times the width, so we can express the length as 9w. Substituting this into the area formula gives us A = 9w * w = 9w^2.

Step 4: Solve for w We know that the area is 225 square millimeters, so we can set up the equation 225 = 9w^2. Solving for w gives us w = sqrt(225/9) = 5 millimeters.

Step 5: Solve for l Substituting w = 5 into the equation l = 9w gives us l = 9*5 = 45 millimeters.

So, the length of the rectangle is 45 millimeters and the width is 5 millimeters.