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first find the area of rectangle and then calculate the area of triangle.
Then add both areas.
The sum if both areas is the area of TRAPAZIUM.
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in easy manner do find area of rectangle and triangle first and add them you will get area of trapazium,so we need third side of triangle ,by Pythagoras theorem,
64+x^2=289
x is third side of triangle,
x^2=289-64=225 so x = 15 so area of ∆=1/2 base ×height=1/2×8×15=60,
then area of rectangle =length ×breadth=15×6=90.
so area of trapazium =area of ∆+area of rectangle=60+90=150cm ^2
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