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. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

y^{2}-5y=750y

2

−5y=750

750-y(y-5)=0750−y(y−5)=0

(y + 25)(y -30) = 0(y+25)(y−30)=0

Step-by-step explanation:

Givens

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.

Let's call ww the width and ll the length. According to the problem they are related as follows

w=l-5w=l−5 , because the width is 5 feet less than the lenght.

We know that the area of the room is defined as

A=w\times lA=w×l

Where A=750 ft^{2}A=750ft

2

Replacing the given area and the expression, we have

\begin{gathered}750=(l-5)l\\750=l^{2}-5l \\l^{2}-5l-750=0\end{gathered}

750=(l−5)l

750=l

2

−5l

l

2

−5l−750=0

We need to find two number which product is 750 and which difference is 5, those numbers are 30 and 25.

l^{2}-5l-750=(l-30)(l+25)l

2

−5l−750=(l−30)(l+25)

Using the zero property, we have

\begin{gathered}l=30\\l=-25\end{gathered}

l=30

l=−25

Where only the positive number makes sense to the problem because a negative length doesn't make any sense.

Therefore, the length of the room is 30 feet.

Also, the right answers are the second choice where y=ly=l , the third choice and the last choice

y² - 5y = 750  

or

750 - y(y - 5) = 0

or

(y + 25)(y - 30) = 0

Step-by-step explanation:

length = y  ft

width = y - 5

Area of the rectangular room = 750 square feet

length * width = 750

y*(y-5) = 750

⇒ y² - 5y = 750

y(y-5) = 750

⇒ 0 = 750 - y(y - 5)

⇒ 750 - y(y - 5) = 0

y(y - 5) = 750

y² - 5y -750 = 0

Sum = -5

Product = -750

Factors = 25 , (-30)

y²  + 25y - 30y - 750 = 0

y(y + 25) -30(y + 25) = 0

(y + 25)(y - 30) = 0

black/brown

step-by-step explanation:

well, you see here, jamal was born to 2 parents, his mother who he lives with and his father who left at a young age and who happens to be younger than him. he stole cookies because he has to steal food due to the fact that he spends his government poverty checks on pot and women.

so what is the problem what are they asking you to solve

step-by-step explanation:

so what is the problem what are they asking you to solve