What is the area of this polygon?

43.5 units²

45.5 units²

46.5 units²

49.5 units²

43.5 unit^2.

Step-by-step explanation:

WE can split this into 3 triangles and 1 rectangle.

Area = 1/2 * 3*2 + 1/2 * 5 * 1 + 1/2*3*4 + 4*8

=  3 + 2.5 + 6 + 32

= 43.5 sq units.

i believe the correct answer is b.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,