Answer:
45 in < l < 100 in
Step-by-step explanation:
The perimeter of a rectangle is between 140 and 250 inches, so we can write the following inequality
140 < P < 250
The perimeter of a rectangle is also equal to
P = 2l + 2w
Where l is the length and w is the width. If the width is 25 inches, we get:
P = 2l + 2(25)
P = 2l + 50
Now, we can replace this expression on the initial inequality and solve for l as follows
140 < 2l + 50 < 250
140 - 50 < 2l + 50 - 50 < 250 -50
90 < 2l < 200
90/2 < 2l/2 < 200/2
45 < l < 100
Therefore, the answer is
45 in < l < 100 in