The area in square meters of a rectangular parking lot is x^2-95x+2100 the width in meters is x-60 what is the length of the parking lot in meters show your work? I'm having a hard time with this can someone help

Question

karim728 · Answer

factor out the eqUATION

holsteremission · Answer

$$\text{area of rectangle}=\text{length}\times\text{height}$$You're given two bits of info here, the total area and the width/length. Replacing what you know in the equation above and abbreviating what you don't with a variable, you can write the equation above as
$$x^2-95x+2100=(x-60)h$$As long as $x\neq60$ (which it isn't, because that would mean the length is $0$), you can divide both sides by $x-60$. Then
$$h=\frac{x^2-95x+2100}{x-60}$$where the height $h$ is in meters. Can you continue from here?