A tabletop in the shape of a trapezoid has an area of 5,106 square centimeters. Its longer base measures 119 centimeters, and the shorter base is 65 centimeters. What is the height?

Respuesta :

A\9

Step-by-step explanation:

Hi1315

Answer:

[tex]55.5cm[/tex]

Step-by-step explanation:

[tex]area \\ 5106= \frac{1}{2} (a + b) \times h \\ 5106= \frac{1}{2} \times (119 + 65) \times h \\ 5106= \frac{1}{2} \times 184 \times h \\ 5106 = \frac{184}{2} \times h \\ 5106 = 92h \\ \frac{5106}{92} = \frac{92h}{92} \\ \\ h = 55.5cm[/tex]

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