Adenugbafunbi2006
Adenugbafunbi2006 Adenugbafunbi2006
  • 20-10-2021
  • Mathematics
contestada

The area of a rectangle is 360 cm, and the length is 2 cm more than the width Find the width​

Respuesta :

alalsksnauuuu alalsksnauuuu
  • 20-10-2021
Answer: 18 cm

Explanation:

Let x = width (W)
Let x + 2 = length (L)

Area (A) = L*W
x(x+2) = 360
x^2 + 2x = 360
x^2 + 2x - 360 = 0
(x + 20)(x - 18) = 0
x + 20 = 0
x = -20
^^^ reject because distance can’t be negative
x - 18 = 0
x = 18 (width)

x + 2 = 20 (length)

Check:
A = L*W
360 = 20 * 18
360 = 360
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