The width of a rectangle is 5 units less than the length. If the area is 150 square unit then find the dimensions of the rectangle.

Step 1 ：Let's denote the length of the rectangle as \(l\) and the width as \(w\).

Step 2 ：According to the problem, the width is 5 units less than the length. So we can express the width as \(w = l - 5\).

Step 3 ：The area of the rectangle is given by the formula \(l \times w = 150\). Substituting \(w = l - 5\) into the formula, we get the equation \(l \times (l - 5) = 150\).

Step 4 ：Solving this equation, we get two solutions for \(l\): -10 and 15. However, the length of a rectangle cannot be negative, so we discard -10.

Step 5 ：Therefore, the length of the rectangle is \(l = \boxed{15}\) units.

Step 6 ：Substituting \(l = 15\) into \(w = l - 5\), we get \(w = 15 - 5 = \boxed{10}\) units.

Step 7 ：Final Answer: The dimensions of the rectangle are \(\boxed{15}\) units (length) and \(\boxed{10}\) units (width).