Area of iso-trap

Find the area of an isosceles trapezoid if the lengths of its bases are 16 cm and 30 cm and the and the diagonals are perpendicular to each other.

Final Answer:

A =  529 cm2

Step-by-step explanation:

c=16 cm a=30 cm  a2 = x2 + x2 x=a/2=30/2=15 2 cm21.2132 cm  c2 = y2 + y2 y=c/2=16/2=8 2 cm11.3137 cm  d=x+y=21.2132+11.3137=23 2 cm32.5269 cm  h1=x2(a/2)2=21.21322(30/2)2=15 cm h2=y2(c/2)2=11.31372(16/2)2=8 cm  h=h1+h2=15+8=23 cm  A1=2a+c h=230+16 23=529 cm2  A=2d d=232.5269 32.5269=529 cm2



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