Amanda uses a rectangular canvas for a painting. The length is 6x - 3 centimeters. The width is 2x + 6 centimeters, and is 4/5 of the length. What are the dimensions of the canvas?

length = 15 cm

width = 12cm

Step-by-step explanation:

The length of the rectangular canvas = (6x - 3) cm

The width = (2x + 6) cm

The width is 4/5 of the length which can be represented as follows

4/5 × (6x - 3) =  4/5(6x - 3)

(24x/5 - 12/5) cm

The width is also 2x + 6

24x/5 - 12/5 =  2x + 6

collect like terms

24x/5 - 2x = 6 + 12/5

(24x - 10x)/5 =(30 + 12) /5

14x/5 = 42/5

cross multiply

14x × 5 = 5 × 42

70x = 210

divide both sides by 70

x = 210/70

x = 3

length

6x - 3

6(3) - 3  

18 - 3 = 15 cm

width

2x + 6

2(3) + 6

6 + 6

12 cm

if x = 1, then the answer is 3.5