Factoring Polynomials · Exercise 55

Consider this scenario:

Charlotte has appointed a chairperson to lead a city beautification project. The first act is to install statues and fountains in one of the city’s parks. The park is a rectangle with an area of $98x^2+105x-27$ m^2, as shown in the figure below. The length and width of the park are perfect factors of the area.

A statue is to be placed in the center of the park. The area of the base of the statue is $4x^2+12x+9{\text{m}}^2.$ Factor the area to find the lengths of the sides of the statue.

This problem refers to a figure in its source book that isn't reproduced here.

OpenStax, Algebra and Trigonometry 2e · §1.5 Factoring Polynomials · Exercise 55