To determine which door will fit the door frame and still open and close properly in the summertime, we need to calculate the maximum expansion allowed for both the height and width.
For the height:
0.3% of 2.1 meters = 0.0063 meters
For the width:
0.3% of 0.9 meters = 0.0027 meters
Now, let's compare these measurements to the options given:
a) Door measuring 2.093 meters by 0.897 meters:
Height difference = 2.093 - 2.1 = -0.007 meters (door too small to fit)
Width difference = 0.897 - 0.9 = -0.003 meters (door too small to fit)
b) Door measuring 2.09 meters by 0.89 meters:
Height difference = 2.09 - 2.1 = -0.01 meters (door too small to fit)
Width difference = 0.89 - 0.9 = -0.01 meters (door too small to fit)
c) Door measuring 2.090 meters by 0.890 meters:
Height difference = 2.090 - 2.1 = -0.01 meters (door too small to fit)
Width difference = 0.890 - 0.9 = -0.01 meters (door too small to fit)
d) Door measuring 2.08 meters by 0.88 meters:
Height difference = 2.08 - 2.1 = -0.02 meters (door too small to fit)
Width difference = 0.88 - 0.9 = -0.02 meters (door too small to fit)
None of the given options will fit the door frame properly in the summertime.
A metal door can expand by up to 0.3% of its height and width in hot summer temperatures. If the door expands to more than the height or width of the door frame, it will not open or close property.
Wanda wants to install a metal door in a door frame that is 2.1 meters tall and 0,9 meters wide. Which door will BEST fit the door frame and still open and close properly in the summertime?
Q a door that measures 2.093 by 0.897 meters, measured to the nearest millimeter
a door that measures 2.09 by 0.89 meters, measured to the nearest centimeter
• a door that measures 2.090 by 0.890 meters, measured to the nearest millimeter
• a door that measures 2.08 by 0.88 meters, measured to the nearest centimeter
1 answer