Find the area of the trapezoid

A = 268.707^2

Answer 4th one. 144+72√ 3

Step-by-step explanation:

We make 2 triangles at lowest point R= 30 /2 = 15 degree

15+ 135- from 180 = 30

P= 60 Q=135 S =135 and R= 30

1/2 of 30= 15 degree

To prove 180 for P,Q,R side triangle 30 + 135 + 15 = 180.

To prove 180 for P,S,R side triangle 30 + 135 + 15

Which confirms P = 60

We use trigonometry sides measure 18+24  and choose the base 18 for Sin x 2 angles.

(18)\ sin 15 x 135 =-9+9sqr3 / 2 =  3.2944228634 and divide 90 / 3.2944228634 =27.31889734 for the diagonal

We look for the height = 17.71

We look for area

=27.31889734 x  17.71 = 241.9088359

A = 241.90 units^2 closest to 144+72√ 3

y=mx+b is the final answer!   : )

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.