Question

A triangle has side lengths of (9.8f-8.4)(9.8f−8.4) centimeters, (2.2f+4.9)(2.2f+4.9) centimeters, and (9.8g+9.2)(9.8g+9.2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answer 1

12f + 9.8g + 5.7 centimeters

Explanation:

Side A = (9.8f-8.4) centimeters

Side B = (2.2f+4.9) centimeters

Side C = (9.8g+9.2) centimeters.

Perimeter of a triangle = Side A + Side B + Side C

= (9.8f-8.4) + (2.2f+4.9) + (9.8g+9.2)

= 9.8f - 8.4 + 2.2f + 4.9 + 9.8g + 9.2

Collect like terms

= 9.8f + 2.2f + 9.8g - 8.4 + 4.9 + 9.2

= 12f + 9.8g + 5.7 centimeters

Therefore, the expression which represents the perimeter of the triangle 12f + 9.8g + 5.7 centimeters