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the lenghth of a picture frame is 7 inches more than th width. For what values of x is the perimeter of the picture frame greater than 154 inches

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Answer:

x > 35

Explanation:

Let's denote the width of the picture frame as "x" inches.

According to the problem, the length of the picture frame is 7 inches more than the width, so it can be expressed as "x + 7" inches.

The perimeter of the picture frame can be found by adding up the lengths of all four sides, which is given by:

Perimeter = 2*(length + width)

Substituting the values of length and width in terms of x, we get:

Perimeter = 2*(x + 7 + x)

Perimeter = 4x + 14

Now we can set up an inequality to find the values of x for which the perimeter is greater than 154 inches:

4x + 14 > 154

Subtracting 14 from both sides, we get:

4x > 140

Dividing both sides by 4, we get:

x > 35

Therefore, the values of x for which the perimeter of the picture frame is greater than 154 inches are x > 35.

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