It could be that the 3 sides are 4,4 and 3 or it could be that the three sides are 4,3,3
In the first case the perimeter would be 11 and in the second case the perimeter would be 10
option D
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Given: The sum of the lengths of two sides of isosceles triangle K is 7. K has a side of length 4.
Here are 2 possible triangles that meet this condition:
Case a: The triangle has lengths 3, 3, and 4
Case b: The triangle has lengths 3.5, 3.5, and 4

Let's examine each case separately.

Case a: The triangle has lengths 3, 3, and 4
Here, the perimeter = 3 + 3 + 4 = 10
So, we get:
Quantity A: 10
Quantity B: 11
Quantity B is greater


Case b: The triangle has lengths 3.5, 3.5, and 4
Here, the perimeter = 3.5 + 3.5 + 4 = 11
So, we get:
Quantity A: 11
Quantity B: 11
The two quantities are equal

Answer: D

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Is it also possible for this triangle to have lengths of 4, 4, 3?

Please see the two explanations above. They are very clear.

Kindly Regards
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Yes, that's also possible.

Cheers,
Brent
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yes because compare sides

4+4 = 8 > 3
4+3 = 7 > 3

4-4 = 0 < 3
4-3 = 1 < 4