SOLUTION: a rectangular room has an area of 60 ft^2.the width is 4 feet less than its length.find the width of the room.you don't have to draw a diagram. thanks.

Question 621041: a rectangular room has an area of 60 ft^2.the width is 4 feet less than its length.find the width of the room.you don't have to draw a diagram. thanks.
Answer by matt501823(7) (Show Source): You can put this solution on YOUR website!
You know that the surface area must be . You also know that length times width equals the area, A. Thus you can say that , but you can also substitute in an alternate value for W since you know that width is 4 less than the length. Thus, we can now say this is the same as saying (this was achieved by factoring). Now you can also say . We can now factor this expression and can determine that . This means that either or that . If we solve for L-10=0 you get L=10; however if you solve for L+6=0 you get L=-6. Since you cannot have a negative length value the length must be 10 feet. Thus we can determine that the width must be 6 feet as . Now, let's double-check to make sure that our length and width values result in a surface area of :

It works :)
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