The four sequential sides of a quadrilateral have lengths a = 5.1 , b = 8.8 , c = 11.1 , and d = 14.9 (all measured in yards). The angle between the two smallest sides is α = 92 ° .

Question

What is the area of this figure?

Answer 1

Draw a figure!!!

Draw the diagonal between the ends of the 2 smallest sides.

The law of cosines will get you the length of the diagonal.

The area of the triangle with the 2 smallest sides and the diagonal is .5*5.1*8.8*sin 92°

Use Heron's formula to find the area of the other triangle.