Question

Abletop in te sapeca tapezoid has an area of 6,096 square centimeters is longer base measures23 centimeters and the shorter base is 65 centimeters What is the heightTheregnt of the tabletopis

Answer 1

Given:

Area of trapezoid = 6096 square centimeters

Shorter base = 23 centimeters

Longer base = 65 centimeters

Let's find the height of the trapezoid.

To find the height, apply the formula:

`A=(a+b)/(2)*h`

Where:

A is the area = 6096 square centimeters

a is the shorter base = 23 centimeters

b is the longer base = 65 centimeters.

Let's find the height.

Rewrite the formula for h:

`h=(2A)/(a+b)`

Substitute values into the formula and solve for h:

`\begin{gathered} h=(2*6096)/(23+65) \\ \\ h=(12192)/(88) \\ \\ h=138.5\text{ cm} \end{gathered}`

Therefore, the height of the trapezoid is 138.5 centimters.

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