summienicole40 summienicole40
  • 21-06-2017
  • Mathematics
contestada

An isosceles trapezoid has base angles of 45° and bases of lengths 9 and 15. The area of the trapezoid is 36 sq. units 67.5 sq. units 72 sq. units

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trapgxd
trapgxd trapgxd
  • 21-06-2017
A = { 3(15 + 9) } / 2 = 36 sq. units

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agaue agaue
  • 17-03-2019

Answer:

36 sq. units

Step-by-step explanation:

Area of any Trapezoid can be found by the formula Area=[tex]\frac{1}{2} (sum of length of bases)xheight[/tex]

The base angles are given as 45 degrees so we have a 45 45 90 triangle .In 45 45 90 triangle legs are same so height = 3.

Area of trapezoid =[tex]\frac{1}{2} (9+15).3[/tex]

                            =[tex]\frac{1}{2} (24).3=36square units.[/tex]

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