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timofeeve [1]
3 years ago
11

A rectangular picture frame has outside dimensions of 8 inches wide and 10 inches tall. If the glass on the picture frame has an

area of 48 square inches. How wide is the width of the picture frame if the frame is the same width all the way around the picture?
Mathematics
1 answer:
Leto [7]3 years ago
7 0

Answer:

1 inch

Step-by-step explanation:

If we call the thickness of the frame x, then the dimensions of the glass are:

w = 8 − 2x

h = 10 − 2x

The area of the glass is width times height:

48 = (8 − 2x) (10 − 2x)

Distribute and simplify:

48 = 80 − 16x − 20x + 4x²

0 = 4x² − 36x + 32

0 = x² − 9x + 8

Factor and solve:

0 = (x − 1) (x − 8)

x = 1 or x = 8

x can't be more than 4 (half the width of the frame), so x = 1 inch.

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Answer: 120 Miles

Step-by-step explanation:

We start with $140.

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Step-by-step explanation:

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3 years ago
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SSSSS [86.1K]
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4 years ago
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We presume your equation is intended to be ...

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