The length of a rectangle multiplied by 3 is equal to 4 times its width. The perimeter is 8(2)/(5) feet. Find the length and the width.

To solve this problem, we need to find the length and width of the rectangle.Given information:- The length of the rectangle multiplied by 3 is equal to 4 times its width.- The perimeter of the rectangle is feet.Let's denote the length of the rectangle as "L" and the width as "1: Set up the equation for the relationship between the length and width.L × 3 = 4WStep 2: Set up the equation for the perimeter of the rectangle.Perimeter = 2(L + W) = 2(L + W)Step 3: Solve the system of equations.From the first equation, we can express L in terms of W:L = (4W) / 3Substituting this expression for L into the perimeter equation: = 2((4W) / 3 + W) = 2(7W / \frac {2}{5} 8\frac {2}{5 3 / 14W = 1.4 feetStep 4: Find the length using the expression for L in terms of W.L = (4W) / 3L = (4 × 1.4) / 3L = 1.867 feetTherefore, the length of the rectangle is approximately 1.867 feet, and the width is 1.4 feet.