Quadratic Word Problems

A farmer has 50 feet of fencing to enclose a rectangular garden with an area of exactly 144 square feet. The area of the garden can be modeled by the equation x(25 - x) -144  where x represents the length and width of the garden. Does he have enough fence to enclose the garden?

There is a table with a width of 3 feet less than its length and an area of 10 square feet. Write and solve an equation to determine the length and width of the table. What is the perimeter of the rectangle?

What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer?

Tags

CCSS.8.EE.C.7B

The larger leg of a right triangle is 3 cm longer than its smaller leg. The hypotenuse is 6 cm longer than the smaller leg. How many centimeters long is the smaller leg?