Given the perimeter of a rectangle = 200 cm, and its width = 50cm:
The formula for a perimeter of a rectangle is P = 2(L + W) or P = 2L + 2W.
We can isolate the length algebraically from the equation. Subtract 2W from both sides:
P - 2W = 2L + 2W - 2W
P - 2W = 2L
Next, divide both sides by 2:
(P - 2W) / 2 = 2L/2
(P - 2W)/2 = L
Now that we have our formula for the length (L), we can plug in the given values into the formula:
L = (P - 2W)/2
L = [200 - 2(50)] / 2
L = (200 - 100) / 2
L = 100/2
L = 50
Therefore, the length of the rectangle is 50 cm.
Please mark my answers at the Brainliest, if you find this helpful :)
