Question

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?

Answer 1

Answer:

Length:15 cm

Width: 12 cm

Step-by-step explanation:

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

$W=\frac{4}{5}L$ ----> equation A

we have

$L=(6x-3)\ cm$

$W=(2x+6)\ cm$

substitute the given values in equation A

$(2x+6)=\frac{4}{5}(6x-3)$

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

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

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