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The length of a picture frame is 8 inches more than the width. For what values of x is the perimeter of the picture frame greater than
Question
The length of a picture frame is 8 inches more than the width. For what
values of x is the perimeter of the picture frame greater than 160 inches?
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Mathematics
5 years
2021-07-30T05:44:36+00:00
2021-07-30T05:44:36+00:00 2 Answers
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Answers ( )
Answer:
For, “x” greater than 34, the perimeter of the picture frame greater than 152 inches
Solution:
Let “x” be the width of the frame
Given that, The length of a picture frame is 8 inches more than the width
Therefore,
Length = width + 8
Length = x + 8
The perimeter of rectangle is given by formula:
Perimeter = 2(length + width)
Substituting the values we get,
Perimeter = 2(x + 8 + x)
Perimeter = 2(2x + 8)
Perimeter = 4x + 16
The perimeter of the picture frame greater than 152 inches
Perimeter > 152
Therefore, for, “x” greater than 34, the perimeter of the picture frame greater than 152 inches
Step-by-step explanation:
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