Question

If the aspect ratio in width:height of a chalkboard is 16:7 and the height is 27 in., what is the width of the chalkboard?

27"
61.7 in
4.1 in.
11.8 in
79.1 in

Answer 1

The width of the chalkboard is 61.7 inches .

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

∵
`(\textrm width of board)/(height of board)` =
`(16)/(7)`

Or,
`(W)/(H)` =
`(16)/(7)`

Or,
`(W)/(27)` =
`(16)/(7)`

Or, W =
`(16)/(7)` × 27

Or, W =
`(16* 27)/(7)`

Or, W =
`(432)/(7)`

∴ W = 61.7 inches

So, The width of board = W = 61.7 inches

Hence, The width of the chalkboard is 61.7 inches . Answer