Answer:
Largest possible mural that can be painted on the wall is 24 feet wide and 13.5 feet high.
Step-by-step explanation:
Design of a mural is 16 in. wide and 9 in. high.
Dimensions of the wall are 24 ft by 14 ft.
If we enlarge the size of the design along the width the wall, scale factor to be used,
Scale factor = [tex]\frac{\text{Width of the wall}}{\text{Width of the design}}[/tex]
= [tex]\frac{24}{16}[/tex]
= [tex]\frac{3}{2}[/tex]
With the same scale factor, height of the design will be,
[tex]\frac{3}{2}=\frac{\text{Height of the wall used}}{\text{Height of the design}}[/tex]
[tex]\frac{3}{2}=\frac{\text{Height of the wall used}}{9}[/tex]
Width of the wall used = [tex]\frac{3\times 9}{2}[/tex]
= 13.5 ft
Therefore, largest possible mural that can be painted on the wall is 24 feet wide and 13.5 feet high.
