Question

A triangle has side lengths of (8.3f+9.6g)(8.3f+9.6g) centimeters, (3.6f+1.5h)(3.6f+1.5h) centimeters, and (6.7h-2.9g)(6.7h−2.9g) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answer 1

The expression (11.9f + 6.7g + 8.2h) cm represent the perimeter of the triangle

Explanation:

Perimeter of a triangle = side a + side b + side c

Side a = (8.3f + 9.6g)

Side b = (3.6f + 1.5h)

Side c = (6.7h - 2.9g)

Perimeter of a triangle = side a + side b + side c

= (8.3f + 9.6g) + (3.6f + 1.5h) + (6.7h - 2.9g)

= 8.3f + 9.6g + 3.6f + 1.5h + 6.7h - 2.9g

Collect like terms

= 8.3f + 3.6f + 9.6g - 2.9g + 1.5h + 6.7h

= 11.9f + 6.7g + 8.2h

Perimeter of a triangle = (11.9f + 6.7g + 8.2h) cm

The expression (11.9f + 6.7g + 8.2h) cm represent the perimeter of the triangle