josiah47
contestada

A rectangular pool 6 meters by 4 meters is surrounded by a walkway of width x meters. At what value of x will the area of the walkway equal the area of the pool?

Respuesta :

mhanifa

Answer:

  • x = 1 m

Step-by-step explanation:

Area of pool:

  • 6*4= 24 m²

Area of walkway:

  • (6+2x)(4 +2x) - 24 =
  • 24 + 12x + 8x + 4x² - 24 =
  • 4x² + 20x

If the areas are equal, then:

  • 4x² + 20x = 24
  • x² + 5x - 6 = 0
  • x = (-5 ±√25+24)/2
  • x = (-5 ± 7)/2
  • x = 1 and
  • x = -6 (excluded as negative)

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