Question

The area in square feet of a rectangular field is

x2 – 120x + 3500. The width, in feet, is x-50. What is the
length, in feet?

Answer 1

Length in feet: x-70

Explanation:

Use factorization to find the length

Area = X^2-120x+3500

Area= length x width.

Area= L x (x-50)= (x-___) (x-50)

To find L we know that in factoring the quadratic equation 50 x __ must be equal to 3500.

(x-70)(x-50) = x^2-120x+3500.