Question

The design for a mural is 16 in. Wide and 9 in. High. What are the dimensions of the largest possible complete mural that can be painted on a wall 24 ft wide by 14 ft high?

Answer 1

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 = $\frac{\text{Width of the wall}}{\text{Width of the design}}$

                    = $\frac{24}{16}$

                    = $\frac{3}{2}$

With the same scale factor, height of the design will be,

$\frac{3}{2}=\frac{\text{Height of the wall used}}{\text{Height of the design}}$

$\frac{3}{2}=\frac{\text{Height of the wall used}}{9}$

Width of the wall used = $\frac{3\times 9}{2}$

                                     = 13.5 ft

Therefore, largest possible mural that can be painted on the wall is 24 feet wide and 13.5 feet high.