a door that is 6 ft by 6inches tall and 36 inches wide. Can apeice of plywood that is 7 ftby 8 ft be carried through the door?
We need to find the diagonal of the door. Use the Pythagorean Theorem.
a^2 + b^2 = c^2
78^2 + 36^2 = c^2
6,084 + 1,296 = c^2
7,380 = c^2
85.9 = c
If 92 inches is the shortest measurement of the plywood, it won't fit.
it won't fit as you said
To determine whether a piece of plywood that is 7 ft by 8 ft can be carried through the door that is 6 ft tall and 36 inches wide, we need to first compare the measurements.
1. Convert the height of the door to the same unit as the plywood. Since the door's height is in feet and the plywood is in inches, let's convert the door's height to inches.
6 ft * 12 inches/ft = 72 inches
2. Compare the height of the plywood (7 ft or 84 inches) with the height of the door (72 inches). Since 84 inches is greater than 72 inches, the plywood's height is taller than the door's height.
3. Next, compare the width of the plywood (8 ft or 96 inches) with the width of the door (36 inches). Since 96 inches is greater than 36 inches, the plywood's width is wider than the door's width.
Based on these measurements, the plywood is both taller and wider than the door. Therefore, it cannot be carried through the door without modifications.