1008dmichelle 1008dmichelle
  • 26-03-2020
  • Mathematics
contestada

Area Of a trapezoid with height 10x+9 cm length is 10x-2 and base 16x+10 cm

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altavistard
altavistard altavistard
  • 27-03-2020

Answer:

Step-by-step explanation:

The area of a trapezoid of parallel sides of different lengths a and b and height h is

A = (average of side lengths)(height)

Here, that would be:

      10x - 2 + 16x + 10

A = -------------------------- * (10x + 9)

                   2

Simplifying this expression, we obtain:

       26x + 8

A = -------------- (10x + 9), or      A = (13x + 4)(10x + 9)

             2

If we choose to complete the multiplication, we obtain:

A = 130x^2 + 117x + 40x + 36, or

A = 130x^2 + 157x + 36

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