Answer:
Part A) The actual dimensions of the mural are 20 ft by 30 ft
Part B) The dimensions on the new scale drawing are 0.50 in by 0.75 in
Step-by-step explanation:
Part A) we know that
A rectangular mural has the dimensions 2 inches by 3 inches
The scale of the drawing is [tex]\frac{0.5}{5}\frac{in}{ft}[/tex]
using proportions
Find out the dimensions of the actual mural
For 2 inches
[tex]\frac{0.5}{5}\frac{in}{ft}=\frac{2}{x}\frac{in}{ft}\\\\x=5*2/0.5\\x=20\ ft[/tex]
For 3 inches
[tex]\frac{0.5}{5}\frac{in}{ft}=\frac{3}{x}\frac{in}{ft}\\\\x=5*3/0.5\\x=30\ ft[/tex]
therefore
The actual dimensions of the mural are 20 ft by 30 ft
Part B) Find the dimensions of another scale drawing with the scale 0.25 inches : 10 feet.
To find out the dimensions in the new scale drawing, multiply the actual dimensions by the new scale
The new scale is [tex]\frac{0.25}{10}\frac{in}{ft}[/tex]
For 20 ft
[tex]\frac{0.25}{10}\frac{in}{ft}(20\ ft)=0.50\ in[/tex]
For 30 ft
[tex]\frac{0.25}{10}\frac{in}{ft}(30\ ft)=0.75\ in[/tex]
therefore
The dimensions on the new scale drawing are 0.50 in by 0.75 in
