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Sagot :
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 = [tex]\frac{Length+Width}{2}\times Height[/tex]
So, we get,
[tex]6550=\frac{115+85}{2}\times Height[/tex]
i.e. [tex]6550=\frac{200}{2}\times Height[/tex]
i.e. [tex]6550=100\times Height[/tex]
i.e. [tex]Height=\frac{6550}{100}[/tex]
i.e. Height = 65.5 centimeters
Hence, the height of the tabletop is 65.5 centimeters.
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