Mathematics

Problem

The three sides of a triangle are

(2x+1)

cm,

(x+4)

cm and

(x+5)

cm. The perimeter of the triangle is

36\,\text{cm}

. a. (a) Form an equation in

x

using the given perimeter and solve for

x

. b. (b) Write the exact lengths of the three sides. c. (c) Determine the semiperimeter of the triangle. d. (d) Calculate the area of the triangle.