Question

The lengths of the sides of a rectangle are 18cm by 3m. Express the area of the rectangle in square decametres.

Answer 1

For this case we have that by definition, the area of a rectangle is given by:

`A = b * h`

Where:

b: It is the base of the rectangle

h: It is the height of the rectangle

By definition we have to:

1 meter equals 0.1 decameters

1 centimeter equals 0.001 decameters

According to the data of the statement we have:

`b = 18 \ cm * \frac {0.001} {1} * \frac {decametres.} {cm} = 0.018 \ decameters.\\h = 3m * \frac {0.1} {1} * \frac {decameters} {m} = 0.3 \ decameters.`

Thus, the area of the rectangle is:

`A = 0.018 * 0.3 = 0.0054 \ decameters ^ 2`

Answer:

`0.0054 \ decameters ^ 2`