the area of a trapezium of height 4cm is 16cm². if one of the sides is 4cm, find the other side of the trapezium
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Answer:
Height of the trapezium= 4cm
Area of trapezium=16cm2
Length of one side of trapezium=4cm
As we know area of trapezium =1/2(sum of parallel sides)
Or 1/2(5+x )4 = 16 (by putting the values}
=Or 1/2(20+4x) = 16
Or (10+2x) = 16
Or 10+2x = 16
Or 2 x = 16-10
Or 2x=6
Or x = 6/2
Therefore x =3cm
THEREFORE THE LENGTH OF OTHER PARALLEL SIDE=3 cm
Answered by
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Step-by-step explanation:
(A+B)/2×h=16cm²
=) (4cm+B)/2 × 4 cm = 16cm²
=) (4cm + B )=(16cm²×2)/4cm=8cm
=) B = 8cm-4cm= 4cm
Req. side=4cm
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