The perimeter (P) of a rectangle can be calculated using the formula:
P = 2(l + w)
Where l is the length and w is the width of the rectangle. Given that the perimeter is 34 units and the width is 65 units, we can substitute these values into the formula:
34 = 2(l + 65)
To find the length l, we can first divide both sides of the equation by 2:
17 = l + 65
Next, we isolate l by subtracting 65 from both sides:
l = 17 – 65
l = -48
However, a negative length does not make sense in this context, which indicates there’s an inconsistency in the provided width and perimeter values. In a real scenario, the width of 65 units would already exceed the perimeter of 34 units, making it impossible for a rectangle to exist with these measurements.