Q:

Larry wants to buy some carpeting for his living room. the length of the room is 4 times the width and the total area of the room is 16 square meters. What is the length of the living room

Accepted Solution

A:
Answer:I would say the length is 8 and the width is 2 Step-by-step explanation:Note that : ( Length = L ,  Width = W  ,  Area = A)A = L x W - the area is 16 as given in the question, therefore:  16 = L x W <- this is your 1st equation  L = 4W - Length is 4 times the width, this is your second equation  Take your second equation and substitute it into the first one:  16 = 4W x W -> simplify this:  16 = 4W^2  Divide both sides of the equation by 4 to isolate the W^2  16 ÷ 4 = (4w^2) ÷ 4 -> this will equal to:  4 = w^2  Now you want to get rid of '^2', you want to isolate w. To do this you need to find the square root of both sides of the equation  √ 4 = √ w^2 -> this will equal to:  2 = w  Now that you have the value of w just sub it into the first equation  16 = L x W  16 = L x 2  16 ÷ 2 = L  8 = L   therefore the length is 8 and the width is 2