A farmer owns a rectangular-shaped farm. She knows that the length is 2 km longer than the width and the perimeter is 16 km. Find 'x', the width of her
farm.

Respuesta :

Answer:

x = 3

Step-by-step explanation:

x + x + x + 2 + x + 2 = 16 (combine like terms)

4x + 4 = 16 (subtract 4 from each side)

4x = 12 (divide each side by 4)

x = 3

Let's check:

(3 + 2) × 2 = 10

3 × 2 = 6

10 + 6 = 16

It works.

Answer:

length= 5 km

Width=3 km

Step-by-step explanation:

Length=Width+2

L=W+2

Perimeter = 16 km

Perimeter of the rectangular field = 2(Length+Width)

                                     [tex]16 = 2*(Width+2+Width)\\\16=2(W+2+W)\\\\16=2(2W+2)\\\\16/2=2W+2\\\\8=2W+2\\\\2W=8-2\\\\2W=6\\\\W=6/2\\\\W=3 km[/tex]

Length(L)=Width+2= 3+2=5 km

length= 5 km

Width=3 km