Lesson 7: Modeling with Quadratic Equations Answers

Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width.

Aisha wants to make two quilts, each with the same area. The first quilt will be square with sides s feet long. The second quilt will be a rectangle with a width that is half the length of a side of the square quilt and a length that is 6 feet longer than a side length of the square quilt.

The product of two consecutive positive integers is 812. What is the value of the lesser integer?

A rectangle’s length is 2 units more than twice its width. Its area is 40 square units. The equation w(2w + 2) = 40 can be used to find w, the width of the rectangle.

A rocket is launched into the air. The projectile motion of the rocket can be modeled using h(t) = 112t –16t2, where t is the time since launch in seconds and h(t) is the height of the rocket at time t.

The product of two numbers is 713. The first number is 9 more than the second number. Which equation can be used to find x, the greater number?

The product of two numbers is 240. The first number is 8 less than the second number. Which equation can be used to find x, the lesser number?