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