Keep in mind: the area of a rectangle is equal to the product of its length and width. In this case the area is 288 square inches, and this equals the length (2x+10) times the width (3x). In other words, (2x+10)(3x)=288 square inches.
Multiply out (2x+10)(3x). This gives you a quadratic expression which is still equal to 288 square inches.
Next, move that "288 square inches) to the left side and rearrange all of your terms (there should be three terms) into the form ax^2 + bx + c = 0.
Your next task is to solve this quadratic equation for x. You could use the quadratic formula, factoring or graphing to find x.
Please share your work.
