Question

Given that the area of a rectangle can be represented by 5x2-8x-4, write expressions to represent
the length and width of the rectangle. Show all work for credit.

Answer 1

Answer:

length:   5x + 2

width:   x - 2

Step-by-step explanation:

Factors of 5

1, 5

Factors of 4

1, 4

2, 2

Sign

one positive, one negative

Factor 5x^2 - 8x - 4

(5x + 2)(x - 2) = 5x^2 - 10x + 2x - 4

(5x + 2)(x - 2) = 5x^2 - 8x - 4

Therefor

length:   5x + 2

width:   x - 2