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The rectangle shown has a perimeter of 64 cm and the given area. Its length is 8 more than five times its width. Write and solve a system of equations to find the dimensions of the rectangle.

The rectangle shown has a perimeter of 64 cm and the given area Its length is 8 more than five times its width Write and solve a system of equations to find the class=

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mhanifa

Answer:

  • Length 28 cm, width 4 cm

Step-by-step explanation:

Given:

  • P = 64 cm
  • L = 5W + 8

Simplify equation for perimeter and solve for W:

  • P = 2(L + W) = 2(5W + 8 + W) = 2(6W + 8) = 12W + 16
  • 12W + 16 = 64
  • 12W = 48
  • W = 4 cm

Find L:

  • L = 5*4 + 8 = 28 cm

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