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Yuki888 [10]
3 years ago
12

A company sells DVDs. If you buy 3 DVDs the cost is $23.85, and if you buy 5 DVDs the cost is $34.75. Which is the better deal?

Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Answer

the 5 DVDs would be the better deal

Step-by-step explanation:

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Answers:

  • x = 7
  • Area of shaded region = 162 square units

You may need to leave off the "square units" portion.

=============================================

Explanation:

For now, ignore the smaller rectangle and its dimensions. The larger rectangle has sides 3x and x+5, which I'll call the length and width.

L = 3x

W = x+5

The perimeter of any rectangle is P = 2(L+W). Plug in those values of L and W, and also the given perimeter P = 66. Isolate x.

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2(L+W) = P

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8x = 66-10

8x = 56

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-------------------

Now that we know x, we can find the area of the rectangles.

As you probably can guess, the shaded region is the difference of the two areas.

A = area of larger rectangle

A = (length)*(width)

A = (3x)*(x+5)

A = (3*7)*(7+5)

A = 252

B = area of smaller rectangle

B = (x+3)*(x+2)

B = (7+3)*(7+2)

B = 90

C = area of shaded region

C = A - B

C = 252 - 90

C = 162 square units is the area of the shaded region.

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