Word problems in math. 2 questions please.

Question

Area of rectangle is 85 square in. The width is 2 inches more than 3 times the length. Find the dimensions. 

 

 

A ball thrown upward. Height of ball, in ft. after t seconds is given h=16t^2+30t+4. How long does it take for the ball to hit the ground? 

Answer 1

Part a)

 

Let length = x

Let width = 3x + 2

Area = 85 in²

 

Using the variables, we can create an equation that represents the area.

 

x(3x + 2) = 85

 

Solve the equation. 

 

Hint:  Manipulate this equation to get a quadratic equation.

 

 

 

Part b)

 

Set h=0 and solve for t.