The perimeter of the rectangle is 15.4 dm. The length of the rectangle is 6.6 dm

The perimeter of the rectangle is 15.4 dm. The length of the rectangle is 6.6 dm. Find the ratio of the length of a given rectangle to its width.

First, let’s remember how the perimeter of a rectangle is calculated:

P = 2 × (a + b),

where a is the length of the rectangle,

b is the width of the rectangle.

We know the perimeter and length of the rectangle, find its width:

P = 2a + 2b,

b = (P – 2a) / 2,

b = (15.4 – 2 × 6.6) / 2 = (15.4 – 13.2) / 2 = 2.2 / 2 = 1.1.

That is, the width of the rectangle is 1.1 dm.

So the ratio of the length of the rectangle to its width is:

6.6 / 1.1 = 6/1.

Answer: The length of a rectangle is 6 to 1 to its width.