Question

larry wants to buy some carpeting for his living room. the length of the room is 2 times the width and the total area of the room is 8 square meters.

Answer 1

what is the legth of the living room? sorry i forgot that part.

Answer 2

\[l=2w;\qquad A=lw=8\]

Answer 3

let the length be 'l' and width be 'w'

l=2w -----(1)

area of the room = l*w
8 = l*w
8 = 2w*w [from (1)]

\[4 = w^2\]
\[w = \sqrt{4} =2\]
\[\therefore\ length\ = 2*2 = 4\ \ [\ l=2w]\]

Answer 4

\[w=\sqrt{4}=\pm2\]
we can reject the negative answer because the width of a carpet must be positive

Answer 5

thank you guys