Question

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

Answer 1

Answer: Length = (x+16)

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

Answer 2

`x + 16`

Explanation:

The area of the rectangular field is:

`A = x^(2) + 19\cdot x + 48`

Whose factorized form is:

`A = (x+3)\cdot (x+16)`

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