Question

A triangle has side lengths of left bracket, 6, x, plus, 10, y, right bracket(6x+10y) centimeters, left bracket, 8, x, minus, 9, z, right bracket(8x−9z) centimeters, and left bracket, 4, z, minus, 7, y, right bracket(4z−7y) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answer 1

The expression that represents the perimeter of the triangle is 14x + 3y - 5z centimeters, which is obtained by adding up the given side lengths and combining like terms.

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of its sides. In this case, we need to add the given side lengths together:

• 6x + 10y cm (first side)
• 8x - 9z cm (second side)
• 4z - 7y cm (third side)

To find the perimeter, simply add these three expressions:

(6x + 10y) + (8x - 9z) + (4z - 7y)

Combine like terms to get the expression that represents the perimeter:

(6x + 8x) + (10y - 7y) + (-9z + 4z)

= 14x + 3y - 5z cm

So, the expression that represents the perimeter of the triangle is 14x + 3y - 5z centimeters.