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A triangle has side lengths of left bracket, 10, f, plus, 6, right bracket
(
10
�
+
6
)
(10f+6) centimeters, left bracket, 2, f, minus, 4, right bracket
(
2
�
−
4
)
(2f−4) centimeters, and left bracket, 9, g, plus, 1, right bracket
(
9
�
+
1
)
(9g+1) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer
Multiple Choice Answers
2, plus, 12, f, plus, 10, g
2
+
12
�
+
10
�
2+12f+10g
14, f, plus, 10, g
14
�
+
10
�
14f+10g
16, f, minus, 2, plus, 10, g
16
�
−
2
+
10
�
16f−2+10g
9, g, plus, 3, plus, 12, f
9
�
+
3
+
12
�
9g+3+12f
Submit Answer
The correct expression that represents the perimeter of the triangle is 2+12f+10g.
The width of a rectangle measures left bracket, 9, p, plus, 7, right bracket
(
9
�
+
7
)
(9p+7) centimeters, and its length measures left bracket, p, plus, 10, right bracket
(
�
+
10
)
(p+10) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer
Multiple Choice Answers
10, p, plus, 17
10
�
+
17
10p+17
22, plus, 32, p
22
+
32
�
22+32p
16, p, plus, 11
16
�
+
11
16p+11
20, p, plus, 34
20
�
+
34
20p+34
The correct expression that represents the perimeter of the rectangle is 2(9p+7) + 2(p+10), which simplifies to 20p+34.
To find the perimeter of the triangle, we need to add up the lengths of all three sides.
The side lengths of the triangle are:
- 10f+6 centimeters
- 2f-4 centimeters
- 9g+1 centimeters
To find the perimeter, we add up these side lengths:
Perimeter = (10f+6) + (2f-4) + (9g+1)
Simplifying the expression:
Perimeter = 10f + 6 + 2f - 4 + 9g + 1
Perimeter = 12f + 10g + 3
Therefore, the expression that represents the perimeter of the triangle is:
12f + 10g + 3.
Therefore, the correct answer is:
14, f, plus, 10, g