The formula for calculating the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
In this problem, the width is given as 25 inches and the perimeter must be less than 160 inches.
We can write the inequality as:
2(l + 25) < 160
Simplifying the inequality, we have:
l + 25 < 80
Now, isolate the variable l by subtracting 25 from both sides:
l < 80 - 25
l < 55
Therefore, the height h of the frame must be less than 55 inches.
Solve the problem by writing an inequality.
If the perimeter of a rectangular picture frame must be less than 160 in., and the width is 25 in., what must the height h of the frame be?
HINT: "must be less than" does not have an equal
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