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

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  

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

step-by-step explanation:

the answer is 128