The area of the parallelogram using Heron's formula is 36.7 unit².
The given parameters;
- length a = 5 unit
- length b= 8 unit
- length c = 11 unit
The constant s is calculated as follows;
[tex]s = \frac{a + b + c}{2} \\\\s = \frac{5 + 8 + 11}{2} \\\\s = 12[/tex]
The area of a single triangle is calculated by using Heron's formula as follows;
[tex]A = \sqrt{s(s-a)(s-b)(s-c)} \\\\A = \sqrt{12(12-5)(12-8)(12-11)} \\\\A = 18.33 \ unit^2[/tex]
The area of the parallelogram is calculated as follows;
[tex]A = 2 \times 18.33\\\\A = 36.7 \ unit^2[/tex]
Learn more about Heron's formula here: https://brainly.com/question/10677686
