Answer:
The width of the chalkboard is 61.7 inches .
Step-by-step explanation:
Given as :
The ratio of width to height of chalkboard = 16:7
The height of the board = H = 27 inches
Let The width of the board = W inches
∵ [tex]\dfrac{\textrm width of board}{height of board}[/tex] = [tex]\dfrac{16}{7}[/tex]
Or, [tex]\dfrac{W}{H}[/tex] = [tex]\dfrac{16}{7}[/tex]
Or, [tex]\dfrac{W}{27}[/tex] = [tex]\dfrac{16}{7}[/tex]
Or, W = [tex]\dfrac{16}{7}[/tex] × 27
Or, W = [tex]\frac{16\times 27}{7}[/tex]
Or, W = [tex]\dfrac{432}{7}[/tex]
∴ W = 61.7 inches
So, The width of board = W = 61.7 inches
Hence, The width of the chalkboard is 61.7 inches . Answer
