Answer:
W > 0.5L
Perimeter:
2L + 2W < 180
2L + 2(0.5L) < 180
2L + 1L < 180
3L < 180
÷3 ÷3
L < 60
Length should be less than or equal to 60 inches while width should be greater than or equal to 30 inches.
Answer: See below
Explanation:
6a + 11 = 2a + 83
6a - 2a = 83 - 11
4a = 72
a = 72/4
a = 18
Kate needs to swim 40 laps to come complete 66 laps
Let D be the endpoint of the angle bisector opposite A on lying on side BC. The angle bisector theorem states that the ratio of BD to CD is equal to the ratio of AB to AC. In this case, you have

(This is the same equation that you have, it's just rearranged.)
Multiply both sides by

and 15.


Now you can solve for

.

