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Area of Trapezium by Division into Shapes of Known Area

The area of a...

Question

The area of a trapezium, if the parallel sides are measuring 8 cm and 10 cm and the height 5 cm is_____ sq. cm.

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Solution

$A r e a o f t r a p e z i u m = \frac{1}{2} \times h \times (a + b) w h e r e, h = h e i g h t (p e r p e n d i c u l a r d i s tan c e b e t w e e n t w o p a r a l l e l s i d e) a & b = l e n g t h o f p a r a l l e l s i d e s A r e a o f t r a p e z i u m = \frac{1}{2} \times 5 \times (8 + 10) = \frac{1}{2} \times 5 \times 18 = 45 c {m^{2}}^{2}$

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Area of Trapezium by Division into Shapes of Known Area

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