Question 44 Answer and Explanation _ACT OG5 Form 67A Math Section

Use the following information to answer questions 44-46.

In the figure below, △ACB is a right triangle with legs of length a units and b units, where 0 < a < b, and hypotenuse of length c units. The triangles △YCA, △ZBA, and △XCB are equilateral. The area of an equilateral triangle with sides x units long is $\frac{\sqrt{3}}{4}{x}^{2}$ square units.

44. What is the perimeter of pentagon AZBCY, in units?

F. a + b + 2c

G. a + 2b + 2c

H. a + 3b + 3c

J. 2a + 2b + 2c

K. 3a + 3b + 3c

Answer and Explanation

Your Answer is

Correct Answer is G

Explanation

Add the five sides of the pentagon to get the perimeter=2c+a+2b. So choose G.