A triangle has side lengths of left bracket, r, minus, 10, s, right bracket
(
�
−
10
�
)
(r−10s) centimeters, left bracket, 3, r, plus, 2, t, right bracket
(
3
�
+
2
�
)
(3r+2t) centimeters, and left bracket, 2, t, minus, 6, s, right bracket
(
2
�
−
6
�
)
(2t−6s) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer
Multiple Choice Answers
minus, 8, s, plus, 4, r, minus, 4, t
−
8
�
+
4
�
−
4
�
−8s+4r−4t
minus, 14, s, t, plus, 6, r, t
−
14
�
�
+
6
�
�
−14st+6rt
4, r, plus, 4, t, minus, 16, s
4
�
+
4
�
−
16
�
4r+4t−16s
5, r, t, minus, 9, r, s, minus, 4, s, t
5
�
�
−
9
�
�
−
4
�
�
5rt−9rs−4st
To find the perimeter of a triangle, we need to sum up the lengths of all three sides.
The first side has a length of (r-10s) centimeters.
The second side has a length of (3r+2t) centimeters.
The third side has a length of (2t-6s) centimeters.
Adding all three sides together, we get:
(r-10s) + (3r+2t) + (2t-6s)
Combining like terms, we have:
r + 3r - 10s + 2t + 2t - 6s
Further simplifying, we get:
4r - 16s + 4t
Therefore, the expression that represents the perimeter of the triangle is:
4r - 16s + 4t.
To find the perimeter of the triangle, we need to add the lengths of all three sides.
The lengths of the sides are given as:
1. (r-10s) centimeters
2. (3r+2t) centimeters
3. (2t-6s) centimeters
The perimeter is the sum of these three lengths.
So, the expression representing the perimeter is:
(r-10s) + (3r+2t) + (2t-6s)
To simplify this expression, we can combine like terms:
r + 3r + 2t + 2t - 10s - 6s
Combining the terms gives us:
4r + 4t - 16s
Therefore, the correct expression representing the perimeter of the triangle is:
4r + 4t - 16s
Hence, the answer is: 4, r, plus, 4, t, minus, 16, s.