Tim wants to model a doll house from a real house that measures 60 feet in length by 28 feet in width. He decides to use a scale in which ¼ inch equals 1 foot. Based on this scale,
What will be the length of the longer side of Tim's model? inches
What will be the length of the shorter side of Tim's model? inches
One way to work this problem:
Change the feet to inches and solve the proportion for x.
720/x = 12/0.25
12x = 180
x = 15 inches
Figure the length of short side the same way.
To determine the length of the longer side of Tim's model, we need to apply the scale of ¼ inch equals 1 foot to the original length of 60 feet.
First, convert the original length of 60 feet to inches: 60 feet * 12 inches/foot = 720 inches.
Next, apply the scale: 720 inches * ¼ inch/foot = 180 inches.
Therefore, the length of the longer side of Tim's model will be 180 inches.
To determine the length of the shorter side of Tim's model, we need to apply the scale of ¼ inch equals 1 foot to the original width of 28 feet.
First, convert the original width of 28 feet to inches: 28 feet * 12 inches/foot = 336 inches.
Next, apply the scale: 336 inches * ¼ inch/foot = 84 inches.
Therefore, the length of the shorter side of Tim's model will be 84 inches.