A rectangular field has an area of 4200 feet. Let the length of the field be (x+2) and the width be (x-3). Find the length and width of the field by writing a quadratic equation and solving using completing the square.

Equation: 2(x+2)(x-3)=4200

(x+2)(x-3)=4209

this is the equation because area is base x height. so those two sides being multiplied will give you 4209. so when you solve those two problems you will then multiply them and get 4209

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. if you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.