Respuesta :
Answer:
Area of the rhombus will be a repeating decimal.
Step-by-step explanation:
In a terminating decimals, numbers get terminated after decimal like
1/4 = 0.25
while in repeating decimals, numbers get repeated after decimal like
1/3 = 0.33333
When we multiply two decimals which are repeating and terminating decimals the result will be a repeating decimal.
Therefore area of the rhombus will be a repeating decimal.
Answer:
Area of the rhombus is a is a repeating decimal or a rational number.
Step-by-step explanation:
The area of a rhombus can be evaluated using the formula
[tex]Area=\frac{1}{2}d_1d_2[/tex]
where, d1 represents the measure of one of its diagonals and d2 represents the measure of its other diagonal.
Repeating decimal: After decimal the same sequence of digits repeats indefinitely. For example 2.333.. and 5.666.. etc.
Terminating decimal: It is a decimal number with a finite number of digits after the decimal. For example: 2.34 and 6.872 etc.
Rational numbers: A number which can be defined as p/q , where p and q are integers and q≠0, then the number is called a rational number.
Repeating decimal and Terminating decimal are rational numbers.
Product of two or more rational numbers is a rational number.
Product of a repeating decimal and terminating decimal is always a repeating decimal.
Let [tex]d_1=\frac{7}{3}=2.333...[/tex] and [tex]d_2=\frac{11}{4}=2.75[/tex]
[tex]Area=\frac{1}{2}(\frac{7}{3})(\frac{11}{4})[/tex]
[tex]Area=\frac{77}{24}[/tex]
[tex]Area=3.20833333333[/tex]
Therefore, the area of the rhombus is a is a repeating decimal or a rational number.
