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 ":
[tex]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[/tex]
So, Length of room = 30 feet
Width of room = 30-5= 25 feet
