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.

Answer 1

The area is length times width. Therefore, your length is 30 and the width is 25. The width (25) is 5 less than the length (30). 30 times 25 is 750.

Answer 2

Answer: Length of room = 30 feet

Width of room = 30-5 = 25 feet

Step-by-step explanation:

Let the length of room be l

Let the breadth of room be l-5

Area of rectangular room = 750 sq. feet

As we know the formula for "Area of rectangle ":

$Area=Length\times breadth\\\\750=l(l-5)\\\\750=l^2-5l\\\\l^2-5l-750=0\\\\\text{By split the middle term}\\\\l^2-30l+25l-750=0\\\\l(l-30)+25(l-30)=0\\\\(l-30)(l+25)=0\\\\l=30,-25\\\\\text{Negative get discarded}\\\\Length=30\ feet$

So, Length of room = 30 feet

Width of room = 30-5= 25 feet