Question

Sergie does yoga on a mat.

What is the area of the mat?
Please see attachment

Length 1 4/5 m
Width 3/5 m

Answer 1

Hello!

The formula for area is length * width. Here, we are given both the values for length and width.

Convert 1 4/5 from a mixed number to an improper fraction. This is where there is no integer next to the fraction, and the numerator is a value greater than the denominator.

1 4/5 = 5/5 + 4/5 = 9/5

Now, multiply 9/5 by 3/5, to get the area.

`(9)/(5) * (3)/(5)`

`(9 * 3)/(5 * 5)`

`(27)/(25)`

Therefore, your answer is 27/25 m^2.

Hope this helps!

Answer 2

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

`A = a * b`

Where:

a, b: They are the sides of the rectangle

According to the data we have:

`a = \frac {3} {5}\\b = 1 \frac {4} {5} = \frac {5 * 1 + 4} {5} = \frac {9} {5}`

So, the area is given by:

`A = \frac {3} {5} * \frac {9} {5} = \frac {3 * 9} {5 * 5} = \frac {27} {25} = 1.08`

Thus, the area of the figure is
`1.08 \ m ^ 2`

Answer:

`1.08 \ m ^ 2`