Answered

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A tabletop in the shape of a trapezoid has an area of 6,550 square centimeters. Its longer base measures 115 centimeters and the shorter base is 85 centimeters. What is the height.

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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