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 equat
ions 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
The equations that can be used to determine the length of the room are:
y(y + 5) = 750
y²– 5y = 750
(y - 30) (y + 25) = 0
<h3>What are the equations?</h3>
A rectangle is a 2-dimensional object that has four sides and four right angles. A rectangle has two diagonals of equal length which bisect each other at right angles.
Area of a rectangle = length x width
Length = y
Width = y - 5
750 = y x (y - 5)
750 = y² - 5y
y² - 5y - 750 = 0
The factors of -750y² that add up to -5y are 25y and -30