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
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, Wwhat will be the length of the longer and shorter side of Tim's model?
Longer:
inches
Shorter:
inches
To determine the length of the model, we can use the scale of ¼ inch equals 1 foot. Let's start by finding the length of the longer side of Tim's model:
The length of the real house is 60 feet. To find the length of the model, we need to multiply 60 feet by the scale factor of ¼ inch per foot:
Length of model = Length of real house * Scale factor
Length of model = 60 feet * ¼ inch per foot
To simplify, we can convert the 60 feet to inches by multiplying it by 12, as there are 12 inches in a foot:
Length of model = 60 feet * 12 inches per foot * ¼ inch per foot
Now, let's calculate the length of the longer side of Tim's model:
Length of model = 720 inches * ¼ inch per foot
Length of model = 180 inches
Therefore, the length of the longer side of Tim's model will be 180 inches.
Now let's find the length of the shorter side of Tim's model:
The width of the real house is 28 feet. We will apply the same scale factor of ¼ inch equals 1 foot:
Width of model = Width of real house * Scale factor
Width of model = 28 feet * ¼ inch per foot
Converting the 28 feet to inches:
Width of model = 28 feet * 12 inches per foot * ¼ inch per foot
Calculating the width of the shorter side of Tim's model:
Width of model = 336 inches * ¼ inch per foot
Width of model = 84 inches
Therefore, the length of the shorter side of Tim's model will be 84 inches.