The sides of a rectangle are in the ratio of 3:8.
The perimeter is 132cm. What is the length of the longest side?
Let's first assume that the common ratio between the sides of the rectangle is 'x'. So, we have:
Length = 3x
Width = 8x
The perimeter of the rectangle is given by the formula:
Perimeter = 2 * (Length + Width)
Substituting the values of length and width, we get:
132 = 2 * (3x + 8x)
132 = 2 * 11x
11x = 66
x = 6
So, the length and width of the rectangle are:
Length = 3x = 18 cm
Width = 8x = 48 cm
Therefore, the longest side is the width which is 48 cm.