Respuesta :

KurdishPotato

Answer:

L = 25

Step-by-step explanation:

Let's call the Length x and width x - 15 since the width is 15 less than length

Eric needs 70 of fencing in total, the perimeter of a rectangle is calculated by adding all sides

x + x + (x - 15) + (x - 15) = 70 add like terms

4x - 30 = 70 add 30 to both sides

4x = 100 divide both sides by 4

x = 25

MissRapunzel

Answer :

Given :

  • The shape of the yard is rectangular
  • Width is 15 yards less than the length
  • Total fencing required is 70 feet

To find :

  • Appropriate equation
  • Dimensions

Solution :

We know that for fencing we need to find the perimeter ,

  • Perimeter of a rectangle
  • => 2 ( length + breadth )

Let us assume the value of length be x yards

  • Width = x - 15 yards

Solving the question we get ,

  • 2 ( x + ( x - 15 ) ) = 70
  • 2 ( x + x - 15 ) = 70
  • 2 ( 2x - 15 ) = 70
  • 4x - 30 = 70
  • 4x = 100
  • [tex]\sf\implies\:x\:=\:\dfrac{100}{4}[/tex]
  • x = 25

Length = 25 yards

Breadth = 25 - 4

  • 21 yards