Answer:
w < 40
Step-by-step explanation:
The formula for the perimeter of a rectangle can be used to write an expression for the perimeter in terms of (w). Then the constraint on the perimeter can be used to write the inequality.
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The perimeter of a rectangle is given by the formula ...
P = 2(L +W) . . . . . where L and W represent the length and width
Substituting the given values, we have ...
P = 2(50 +w) = 100 +2w
The perimeter is less than 180 yards, so we have ...
P < 180
100 +2w < 180 . . . . inequality in terms of w
2w < 80 . . . . . subtract 100
w < 40 . . . . . . divide by 2
The width of the lot is less than 40 yards.
