The length of a rectangle is four times its width.
If the perimeter of the rectangle is 100 m, find its length and width.
Let's assume that the width of the rectangle is x meters.
According to the given information, the length of the rectangle is 4 times its width, so the length is 4x meters.
The formula for the perimeter of a rectangle is 2(length + width).
Given that the perimeter is 100 m, we can set up the equation as follows:
2(4x + x) = 100
Simplifying the equation, we get:
2(5x) = 100
10x = 100
Dividing both sides by 10, we get:
x = 10
Therefore, the width of the rectangle is 10 meters.
Substituting this value in the equation for the length, we get:
Length = 4 * 10 = 40
Hence, the length of the rectangle is 40 meters and the width is 10 meters.