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A tabletop in the shape of a trapezoid has an area of 5,369 square centimeters. Its longer base measures 131 centimeters, and the shorter base is 105 centimeters. What is the height?

Respuesta :

Answer:

The height of the trapezoid  = 45.5 cm

Step-by-step explanation:

Here, the length of the base = 131 cm

The length of the shorter side = 105 cm

Let us assume the height = h

Also, area of the trapezoid = 5,369 sq. cm

Now, AREA OF THE TRAPEZOID  = [tex]\frac{1}{2} \times \textrm{(Sum of parallel sides)} \times h[/tex]

[tex]\implies 5,369  = \frac{1}{2}  \times (131 + 105) \times  h\\\implies h = \frac{5,369 \times 2}{236}  =  45.5[/tex]

or, h = 45.5 cm

Hence the height of the trapezoid  = 45.5 cm

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