The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options.

750 - y(y-5)=0

Step-by-step explanation:

Problem: Area of the room = 750 square feet

 Width = Length - 5 feet

We have a rectangular room. To calculate it's area we do:

Area = Width x Length

We know that width depends on Length in this exercise. Replacing our data above:

750 square feet = (Length - 5 feet) x Length

Let's rearrange our equation. If we named Length = y :

Now we do one more final step to match one of the options:

If you look carefully, there are two more correct answers similar to the equation above: y^{2}-5y=750

okay wait before i answer, is this for your points on a graph?

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x