the width of a rectangle is 25% of the length. The perimeter is 250 cm. Find the width and the length of the rectangle. (length = 100 cm and width = 25cm)

Right!

To find the width and length of the rectangle, you can follow these steps:

Step 1: Assign variables to the unknowns.
Let's say:
Length = L
Width = W

Step 2: Write the given information as equations.
According to the problem, the width of the rectangle is 25% of the length, which can be written as:
W = 0.25L

The perimeter of a rectangle is given by the formula:
Perimeter = 2(L + W)

In this case, the perimeter is 250 cm, so we have:
250 = 2(L + W)

Step 3: Substitute the value of W from equation (1) into equation (2).
250 = 2(L + 0.25L)

Simplify the equation:
250 = 2(1.25L)
Divide both sides by 2:
125 = 1.25L

Step 4: Solve for L.
To isolate L, divide both sides by 1.25:
L = 125 / 1.25
L = 100 cm

So the length of the rectangle is 100 cm.

Step 5: Substitute the value of L into equation (1) to find W.
W = 0.25(100)
W = 25 cm

Therefore, the width of the rectangle is 25 cm.

In conclusion, the length of the rectangle is 100 cm, and the width is 25 cm.