The length of a rectangle is three times its width. If the perimeter of the rectangle is 56 cm, find its length and width.
Let the width of the rectangle be x cm.
According to the given condition, the length of the rectangle is 3 times the width, which means the length is 3x cm.
The perimeter of a rectangle is given by the formula:
Perimeter = 2(length + width)
Substitute the values of length and width into the formula:
56 = 2(3x + x)
56 = 2(4x)
56 = 8x
x = 7 cm
Therefore, the width of the rectangle is 7 cm, and the length is 3(7) = 21 cm.