MATH SOLVE

3 months ago

Q:
# ((Image Included))If x = 27 inches, what is the perimeter of the figure above? A. (108 + 54 + 54) inches B. (54 + 108) inches C. (364.5 + 729) inches D. (27 + 54 + 81) inches

Accepted Solution

A:

Answer:=204.13 inches.Step-by-step explanation:Using the side x, we can use sine to find the hypotenuse of the triangle with the angle marked 30Β°.Sin 30 =x/hypotenuse.sin 30 = 27/hyphyp= 27/sin 30=54 inchesWe can also find the adjacent as follows.Cos 30 = adjacent/ 54Adjacent= 54 cos 30=46.77 inchesUsing the angles marked 45 we can find the hypotenuse of the isosceles triangle.sin 45= x/hypotenusesin 45 =27/hypotenusehypotenuse = 27/sin 45=38.18 inchesThe hypotenuse of both the triangles making the isosceles triangle are 38.18 inches long.Perimeter = 54+ 46.77+27+ 38.18+38.18=204.13 inches.