Question

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

Answer 1

The correct equations are:

y(y + 5) = 750

y2 – 5y = 750

(y + 25)(y – 30) = 0

The first equation is the area equation. The width of the room is 5 feet less than the length of the room, so the width is y – 5 and the length is y. Plugging these values into the area equation, we get:

y(y – 5) = 750

The second equation is obtained by factoring the first equation.

The third equation is obtained by expanding the first equation.

The other two equations are not correct because they do not represent the area of the rectangular room.

Explanation: