Question

the palace sides of a Trapezium are 65 and 40 its non parallel sides are 39 metre and 56 metre find the area of the trapezium ​

Answer 1

Answer:

x²+h² = 56² 

(25-x)²+h² = 39² 

x²-56² = (25-x)² - 39² 

x = 224/5 

So,

h² = 56²-x² = 28224/25 

h = 168/5 

Thus,

The area is (40+65)/2 × 168/5 = 1764

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Answer 2

Answer:

x+h2 = 562

(25-x)2+h2 = 392

x²-562 = (25-x)? - 392

x = 224/5

So,

h2 = 562-x2 = 28224/25

h = 168/5

Thus,

The area is (40+65)/2 x 168/5 = 1764