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Step-by-step explanation:
Sum of parallel sides = 16cm
Let height be h cm
Area of trapezium = 16 sq cm
1/2 × sum of parallel sides × height = 16
1/2 × 16 × h = 16
h = 2cm
distance between parallel sides = h= 2cm
when both sides are halved and area is same Then
if both sides are halved the their sum will also become half
sum of parallel sides = 1/2 × 16 = 8cm
new height = H cm
now again
1/2 × sum of parallel sides × height = area
1/2 × 8 × H = 16
H = 4cm
New distance between parallel sides = H= 4cm
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