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Volgvan
3 years ago
13

A square is cut from a rectangle. The side length of the square is half of the unknown width w. The area of the shaded region is

84 square inches. Write an equation you can use to find the width (in inches).

Mathematics
1 answer:
Virty [35]3 years ago
8 0

Answer:

  • See below

Step-by-step explanation:

<u>The side of the square is w/2, then its area is:</u>

  • A = (w/2)² = w²/4

<u>The shaded area is the difference of areas of the rectangle and the square:</u>

  • 14w - w²/4 = 84

<u>This can be simplified:</u>

  • 56w - w² = 336
  • w² - 56w + 336 = 0

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Step 2: Substitute numbers for answer in cm

To get the answer in cm, simply substitute the numbers into the equation. Then, you may simply multiple them to solve.
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Step 3: Add cubed symbol

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