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 wide?

Question

And Can you Please Explain.
I understood how to do it. but which height or width will fill the space first? And Why

Answer 1

well, the wall's height is 14/9 times the mural's height

the wall's width is 24/16 times the mural's width.

So, which ratio is larger?

14/9 > 24/16

so, as the mural is scaled up, the sides will fill the width before the top and bottom fill the height.

Answer 2

find the area of the triangle
6yd and 2ft

Answer 3

12 inch=1ft
24x12 =288
14x12=168