Answer:
16 16/25 cm²
Step-by-step explanation:
Area = 6 2/5 cm x 2 3/5 cm
A = 6.4 x 2.6 = 16.64 cm²
= 16 64/100 cm²
= 16 16/25 cm²
The area of a rectangle with a length of 6 2/5 centimetres and a width of 2 3/5 centimetres is 16 16/25 cm².
Mixed numbers are the number which are used to write the whole number and the fraction number combined.
As the whole number and fraction number are expressed together, thus these numbers are called mixed numbers.
The length of the rectangle is,
[tex]l=6 \dfrac{2}{5}\rm\; cm[/tex]
The width of the rectangle is,
[tex]w=2 \dfrac{3}{5}\rm\; cm[/tex]
Convert the length and width in fraction number.
[tex]l= \dfrac{30+2}{5}=\dfrac{32}{5}\\w= \dfrac{10+3}{5}=\dfrac{13}{5}[/tex]
The area of the rectangle is the product of its length and width. Thus, the area of the rectangle is,
[tex]A=\dfrac{32}{5}\times \dfrac{13}{5}\\A=\dfrac{416}{25}\\A=\dfrac{400+16}{25}\\A=16\dfrac{16}{25}[/tex]
Hence, the area of a rectangle with a length of 6 2/5 centimetres and a width of 2 3/5 centimetres is 16 16/25 cm².
Learn more about the mixed number here;
https://brainly.com/question/1746829
