Question

Amanda uses a rectangular canvas for a painting. The length is 6x - 3 centimeters.

The width is 2x + 6 centimeters, and is of the length. What are the dimensions
of the canvas?​

Answer 1

Length:15 cm

Width: 12 cm

Explanation:

The complete question is

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?

Let

L ----> the length of the rectangular canvas

W ---> the width of the rectangular canvas

we know that

The width is 4/5 of the length

so

`W=(4)/(5)L` ----> equation A

substitute the given values in equation A

`(2x+6)=(4)/(5)(6x-3)`

solve for x

`10x+30=24x-12\\24x-10x=30+12\\14x=42\\x=3`

Find the dimensions of the canvas

substitute the value of x

`L=6(3)-3=15\ cm`

`W=2(3)+6=12\ cm`