falcon609

The area of quadrilateral FLAX is 10 x sqrt(75). 

Triangle ZAX is equilateral and has a perimeter of 30. Each side is equal and there are 3 sides (), so 30/3=10. Therefore, line XA and FL are 10 units long. Since triangle ZAX is equilateral, point Z is in the middle of line FL. Line FL is 10, so lines FZ is 5 units long. Line ZX (part of the triangle) is 10 units long. We can use the Pythagorean theorem (a² + b² = c² ) to find the length of the last line. A = 5 and C = 10. 5² = 25 and 10² = 100. Therefore, 25 + b² = 100. 100 - 25 = 75, so b² = 75. This means that b = the square root of 75. The area would be 10*sqrt(75), or about 86.6025.

Hope this helps!! 

Do you mean 1 7/10? This is 1.7. 

Do you mean 1.1818181818... by 1.18 repeating? If so, the fraction would be 1 2/11, or 13/11. Here is a great site for converting decimals to fractions. https://www.calculatorsoup.com/calculators/math/decimal-to-fraction-calculator.php

This is insoluble unless you have Table 1 from Appendix A.