a rectangular field at a farm has an area of x2+19x+48 square meters one side of the field is (x+3) meters long. What is the length of the other side of the field

Respuesta :

Answer:

[tex]x + 16[/tex]

Step-by-step explanation:

The area of the rectangular field is:

[tex]A = x^{2} + 19\cdot x + 48[/tex]

Whose factorized form is:

[tex]A = (x+3)\cdot (x+16)[/tex]

The area of an rectangle is the product of the width and length. Since one side is equal to [tex]x + 3[/tex], the length of the other side is [tex]x + 16[/tex].

Answer: Length = (x+16)

Step-by-step explanation:

Area of rectangle = L × B

L = A/B

Where A =  x2+19x+48 square meters

B = (x+3) metres

Therefore,

L = (x2+19x+48)/(x+3)

Factories the numerator

L = (x +3)(x+16)/(x+3)

L = x+16