a carpet measures 4 meters and 6 decimeters in lenght by 3 meters and 5 decimeters in width. what is its area in square meters?

A = 4.6 * 3.5 = 16.1 square meters

To find the area of the carpet, we need to multiply the length by the width.

First, let's convert the measurements from meters and decimeters to meters.

In length, 6 decimeters is equal to 0.6 meters.
So, the length becomes 4 meters + 0.6 meters = 4.6 meters.

In width, 5 decimeters is equal to 0.5 meters.
So, the width becomes 3 meters + 0.5 meters = 3.5 meters.

Now, we can find the area by multiplying the length and the width:
Area = Length × Width
= 4.6 meters × 3.5 meters
= 16.1 square meters.

Therefore, the area of the carpet is 16.1 square meters.