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Higher Order Thinking The length of a rectangle is twice the width. The area of the rectangle is 90 square units. Note that you can divide the rectangle into two squares.
Envision Math Common Core Grade 8 Answer Key Topic 1 Real Numbers 37.3
a. Which irrational number represents the length of each side of the squares?
b. Estimate the length and width of the rectangle.

Respuesta :

francocanacari

The irrational number that represents the length of each side of the squares is 6.7082039324993 units.

In turn, since the upper side of the rectangle is twice the side of the square, the sides of the rectangle measure 6.7082039324993 units and 13.416407864998 units.

Since the length of a rectangle is twice the width, and the area of the rectangle is 90 square units, noting that the rectangle can be divided into two squares, to determine which irrational number represents the length of each side of the squares, and estimate the length and width of the rectangle, the following calculations should be performed:

  • Rectangle = 90 square units
  • Square = 45 square units each
  • X ^ 2 = 45
  • X = √45
  • X = 6.7082039324993
  • Therefore, the irrational number that represents the length of each side of the squares is 6.7082039324993 units.
  • In turn, since the upper side of the rectangle is twice the side of the square, the sides of the rectangle measure 6.7082039324993 units and 13.416407864998 units (6.7082039324993 x 2).

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