A child's desk is made so that it is a replica of a full-size adult desk. If the top of the adult desk measures 54 inches long by 36 inches wide. If the top of a child's desk is 24 inches wide and is similar to the full-size desk, what is the length?

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Answer 1 · 2018-02-01T05:37:16

Length of the child's desk #color(red)(l = 36)#"

Let A & B are the two desks and their lengths and widths #L, W, l, w#.

Given #L = 54#", #W = 36#", #w = 24#"#

To find #l#

Since the two desks are similar, their sides are in the same proportion.

i.e. #l / L = w / W#

#l = (w * L) / W = (24 * 54) / 36 = 36#"