Q:

Washington Middle School’s school flag has a height:width ratio of 12:27.If the school flag is 32 inches high, what is its width? ___ inchesIf the school flag is 48 inches wide, what is its height to the nearest tenth of an inch?___ inches

Accepted Solution

A:
Set up ratios: The given ratio is Height: WidthTo set up a ratio write it as ratio height / real height = ratio width /real widthYou are given the height of 32The ratio becomes:12/32 = 27/X (x is the real width)Cross multiply:12x = (32*27)12x = 864Divide both sides by 12:x = 864 /12x = 72 inches wide.Now do the same for the height, this time let x be the unknown height:12/x = 27/48Cross multiply:27x = (12*48)27x = 576Divide both sides by 27x = 576 / 27x = 21.3 inches high.