A hotel purchases a large photo for its newly renovated lobby

Given
height of photo = h
Width = 6+3h
Perimeter = 284
Find
Height of the photo
Explanation
As we see the photo is in the shape of rectangle ,
and we know that perimeter of rectangle = 2( L + B)
so , according to the question
[tex]\begin{gathered} 284=2\times(h+3h+^6) \\ 142=4h+6 \\ 142-6=4h \\ 136=4h \\ 34=h \end{gathered}[/tex]width = 3h + 6 = 3*34 + 6 = 108
Final Answer
Therefore , the height of the photo is 34 in. and width is 108 in.