Emily purchased a couch, loveseat, in the chair for $2000. The Loveseat cost twice as much as the chair, and the couch cost $600 more than the love seat. Find the cost of the couch, loveseat, and chair.

Chair $280

Loveseat $560

Couch $ 1,160

Step-by-step explanation:

chair = x

loveseat=2x

couch = 2x + 600

x +2x + 2x +600 = 2000

5x + 600 =2000 subtract 600 from both sides

5x =1400 divide by 5

x = $280

Chair is the value of x =$280

Loveseat is twice the value of x = 2 x $280 =$560

Couch is twice the value of x plus $600 = $560 + $600

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: