rectangle has a perimeter of 490mm the lengths of the sides are in the ratio 3:4 calculate the dimension of the rectangle

Let the lengths of the sides be 3x and 4x, where x is a common factor.

The perimeter of the rectangle is given as:
Perimeter = 2(Length + Width)
490 = 2(3x + 4x)

Simplifying the equation:
490 = 14x
Dividing both sides by 14:
x = 35

Therefore, the dimensions of the rectangle are:
Length = 3x = 3(35) = 105 mm
Width = 4x = 4(35) = 140 mm