Marshall measured the floor of his storage unit, which is rectangular. It is 8 feet wide and 9 feet from one corner to the opposite corner. How long is the storage unit? If necessary, round to the nearest tenth.(Pythagorean theorem)
To find the length of the storage unit using the Pythagorean theorem, we can use the formula:
a^2 + b^2 = c^2
where:
a = width of the storage unit = 8 feet
b = depth of the storage unit = unknown
c = diagonal measurement = 9 feet
Substitute the known values into the formula:
8^2 + b^2 = 9^2
64 + b^2 = 81
b^2 = 81 - 64
b^2 = 17
b = √17
b ≈ 4.1 feet
Therefore, the length of the storage unit is approximately 4.1 feet.