ANSWER
B. 8w - 10 = 174
EXPLANATION
The length of the rectangle is 5 less than 3 times the width.
Let the length be L.
Let the width be w.
This means that:
L = 3 * w - 5
L = 3w - 5
The perimeter of a rectangle is given as:
P = 2(L + w)
The perimeter of the rectangle is 174. This means that:
174 = 2L + 2w
Recall:
L = 3w - 5
=> 174 = 2(3w - 5) + 2w
174 = 6w - 10 + 2w
=> 8w - 10 = 174
That is Option B
