Question

A triangle has side lengths of (10c + 10) centimeters, (c + 5) centimeters, and

(4d - 9) centimeters. Which expression represents the perimeter, in centimeters, of
the triangle?

Answer 1

The perimeter of the triangle with sides (10c + 10), (c + 5), and (4d - 9) can be found by adding them together, resulting in an expression of 11c + 4d + 6 centimeters.

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of all its sides. To find the perimeter of the given triangle with side lengths (10c + 10) centimeters, (c + 5) centimeters, and (4d - 9) centimeters, we simply add these expressions together.

The expression for the perimeter P is:

P = (10c + 10) + (c + 5) + (4d - 9)

Combining like terms, we get:

P = 11c + 4d + 6

Therefore, 11c + 4d + 6 centimeters is the expression that represents the perimeter of the triangle.

Answer 2

Perimeter means that you add up the sides.

(10c + 10) + (c+5) + (4d-9)

Add like terms:

10c + c + 10 +5 -9 +4d

(11c + 6 +4d)cm is the perimeter.