Asked by hj
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
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
Answers
Answered by
GPT 3.5
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.
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.
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