Answer:
Perimeter = 19 units
Step-by-step explanation:
Given a = 4 1/8
[tex]Side1 = a + 3\frac{1}{4}\\Side2 = 2a\\Side3 = 7\frac{1}{2}-a[/tex]
The next step is substituting the a value in the expressions:
[tex]Side1 = 4\frac{1}{8}+ 3\frac{1}{4}\\Side2 = 2*(4\frac{1}{8})\\Side3 = 7\frac{1}{2}-4\frac{1}{8}[/tex]
Then, fractions with different denominators must be converted to the same denominator. Also, the multiplication of a whole number by a mixed number can be done by using distributive law:
[tex]Side1 = 4\frac{1}{8}+ 3\frac{2}{8}\\Side2 = 8\frac{2}{8}\\Side3 = 7\frac{4}{8}-4\frac{1}{8}[/tex]
[tex]Side1 = 7\frac{3}{8}\\Side2 = 8\frac{1}{4}\\Side3 = 3\frac{3}{8}[/tex]
Now, the perimeter is the sum of all the sides. Therefore, the perimeter is:
[tex]Perimeter = 7\frac{3}{8} + 8\frac{1}{4} + 3\frac{3}{8}[/tex]
Which is 19 units.
