Factoring & Find the Dimensions of a Rectangle Given Area

The length of a rectangle is 4 cm more than its width. The area of the rectangle is 96 sq. cm. Find its dimensions.

The length of a rectangle is 1 m longer than 2 times its width. The area is 36 m² . Find the dimensions of this rectangle.

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.

h = -5t² + 45

When is the ball at ground level?

What should you do first to solve this equation using factoring?

x² + 6x - 13 = 3

 Solve the quadratic function using any method. Select the solutions.
$$x^2+4x=12$$  

Lisa solves the equation below:

x² + 4x - 12 = 2

(x - 2)(x + 6) = 2,

by setting x -2 = 0 and x + 6 = 0.

Her solutions are x = 2 and x = -6.

Is Lisa correct? Why or why not?

What is the solution set for the given quadratic equation ?