Find the two parallel sides of a trapezium whose area is 1.6 m2, altitude is 10 dm
and one of the parallel sides is longer than the other by 8 dm.
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Answer:
area of trapezium= 1.6 sq m
altitude h = 10 dm = 1 m
let one of the parallel sides be x then the other side will be ( x + 0.8 ) m
Recall that area of trapezium , A = ( 1/2)
x h x ( a + b )
1.6 = ( 1/ 2) ×1 × ( x + x + 0.8 )
3.2 = 2 x + 0.8
2x = 3.2- 0.8 = 2.4
therefore , x = 1.2 m
( x+0.8 ) = 2m
thus the parallel sides are 1.2 m and 2m
Step-by-step explanation:
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