Answer:
The height of the tabletop is 65.5 centimeters.
Step-by-step explanation:
We are given that,
Length of the base = 115 centimeters
Width of the base = 85 centimeters
Area of the trapezoid shaped base = 6,550 square centimeters.
Since, we know,
Area of a trapezoid = \(\frac{Length+Width}{2}\times Height\)
So, we get,
\(6550=\frac{115+85}{2}\times Height\)
i.e. \(6550=\frac{200}{2}\times Height\)
i.e. \(6550=100\times Height\)
i.e. \(Height=\frac{6550}{100}\)
i.e. Height = 65.5 centimeters
Hence, the height of the tabletop is 65.5 centimeters.