The floor areas of a living room on a house plan measures 3 1/2 inches by 4 5/8 inches. If the scale is 1/4 inch = 1 foot, find the length of the longest side of room in feet. ________
4 5/8 * 4 = ??
Which fraction is bigger: 4_5/8 or 3_1/2?
4_5/8, right?
We are given that 1/4 = 1 foot, right?
Divide 4_5/8 by the given scale or 1/4.
4_5/8 divided by 1/4 = 18_1/2 feet for the longest side.
To find the length of the longest side of the room in feet, we need to convert the measurements from inches to feet.
First, let's convert the width of the room from inches to feet:
3 1/2 inches = 3 + 1/2 inches = 3.5 inches
Since the scale is 1/4 inch = 1 foot, we can divide the width in inches by 1/4 to get the width in feet:
3.5 inches / (1/4 inch/foot) = 3.5 inches * (4/1 inch/foot) = 14 feet
Next, let's convert the length of the room from inches to feet:
4 5/8 inches = 4 + 5/8 inches = 4.625 inches
Again, using the scale 1/4 inch = 1 foot, we can divide the length in inches by 1/4 to get the length in feet:
4.625 inches / (1/4 inch/foot) = 4.625 inches * (4/1 inch/foot) = 18.5 feet
Now let's find the longest side of the room. Since the longest side is either the width or the length, we compare the two values we found:
Width: 14 feet
Length: 18.5 feet
The length of the longest side of the room is 18.5 feet.