Step 1: Understand the problem
The problem gives us the ratio of the length to the width of a rectangle (8:3) and the area (384 square millimeters). We are asked to find the actual length and width.

Step 2: Set up the equations
Let's denote the length as 8x and the width as 3x (x is a common multiplier). The area of a rectangle is given by the formula length * width, so we can set up the following equation:

8x * 3x = 384

Step 3: Solve the equation
Solving the equation gives:

24x^2 = 384
x^2 = 384 / 24
x^2 = 16
x = sqrt(16)
x = 4

Step 4: Find the length and width
Now that we know x, we can find the length and width:

length = 8x = 8*4 = 32 millimeters
width = 3x = 3*4 = 12 millimeters

So, the length of the rectangle is 32 millimeters and the width is 12 millimeters.

Question

Step 1: Understand the problem
The problem gives us the ratio of the length to the width of a rectangle (8:3) and the area (384 square millimeters). We are asked to find the actual length and width.

Step 2: Set up the equations
Let's denote the length as 8x and the width as 3x (x is a common multiplier). The area of a rectangle is given by the formula length * width, so we can set up the following equation:

8x * 3x = 384

Step 3: Solve the equation
Solving the equation gives:

24x^2 = 384
x^2 = 384 / 24
x^2 = 16
x = sqrt(16)
x = 4

Step 4: Find the length and width
Now that we know x, we can find the length and width:

length = 8x = 8*4 = 32 millimeters
width = 3x = 3*4 = 12 millimeters

So, the length of the rectangle is 32 millimeters and the width is 12 millimeters.

Knowee AI · Accepted Answer

Step 1: Understand the problem
The problem gives us the ratio of the length to the width of a rectangle (8:3) and the area (384 square millimeters). We are asked to find the actual length and width.

Step 2: Set up the equations
Let's denote the length as 8x and the width as 3x (x is a common multiplier). The area of a rectangle is given by the formula length * width, so we can set up the following equation:

8x * 3x = 384

Step 3: Solve the equation
Solving the equation gives:

24x^2 = 384
x^2 = 384 / 24
x^2 = 16
x = sqrt(16)
x = 4

Step 4: Find the length and width
Now that we know x, we can find the length and width:

length = 8x = 8*4 = 32 millimeters
width = 3x = 3*4 = 12 millimeters

So, the length of the rectangle is 32 millimeters and the width is 12 millimeters.

A rectangle's length and width are in a ratio of 8:3. The area is 384 square millimeters. What are the length and width?length = millimeterswidth = millimetersSubmit

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