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A tabletop in the shape of a trapezoid has an area of 6,731 square centimeters. Its longer base measures 127 centimeters, and the shorter base is 85 centimeters. What is the height?

User Wjdp
by
8.2k points

1 Answer

5 votes

Answer:


\boxed{The \ height \ of \ the \ tabletop \ is \ 63.5 \ centimeters}

Explanation:

We are given that,

Length of the base = 127 centimeters

Width of the base = 85 centimeters

Area of the trapezoid shaped base = 6,731 square centimeters.

Since, we know,


\bold{Area \ of \ a\ trapezoid}=(Length +Width)/(2)* Height

So, we get,


6731=(127+85)/(2)* Height

i.e.
6731=(212)/(2)* Height

i.e.
6731=106* Height

i.e.
Height=(6731)/(106)

i.e. Height = 63.5 centimeters

Hence, the height of the tabletop is 63.5 centimeters.

User Abuzer Firdousi
by
7.5k points
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