Respuesta :

fieryanswererft

Dimensions : 16 x 20

  • Let the width be x
  • then the length: x + 4

                     area of rectangle = Length * Width

solving steps:

  • (x+4)(x) = 320
  • x² + 4x = 320
  • x² + 4x - 320 = 0
  • x² +20x -16x -320 = 0
  • x(x + 20) -16(x+20) = 0
  • (x-16)(x+20) = 0
  • x = 16, -20
  • x = 16                     [ As length or width can never be negative ]

So we found Width = 16 feet

Length:

  • 16 + 4
  • 20 feet
semsee45

Answer:

width = 16 ft

length = 20 ft

Step-by-step explanation:

Let width = x

If the length is 4 ft longer than the width, then

⇒ length = x + 4

Area of a rectangle = width × length

Given:

  • area = 320
  • width = x
  • length = x + 4

Substituting these values into the equation for the area of a rectangle and solving for x:

⇒ 320 = x(x + 4)

⇒ 320 = x² + 4x

⇒ x² + 4x - 320 = 0

⇒ (x - 16)(x + 20) = 0

⇒ x = 16, -20

As distance is positive, then x = 16 only.

Therefore, width = 16 ft and length = 20 ft

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