the area of a Trapezium is 475 CM square and the height is 19 cm find its length of its parallel sides if one side is 4 cm greater than the other side
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Let the length of smaller parallel side= x cm
then length of Larger parallel side=( x+ 4) cm
So, Area of trapezium= 1/2(sum of parallel side)* Height
=> 475= 1/2 (x+ x+4)*19
=> 475 = (x+2)*19
=> 25= x+2
=> x= 23 cm
so, smaller parallel side= 23 cm
Now, largest parallel side= 23+4= 27cm
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Let the length of smaller parallel side= x cm
then length of Larger parallel side=( x+ 4) cm
So, Area of trapezium= 1/2(sum of parallel side)* Height
=> 475= 1/2 (x+ x+4)*19
=> 475 = (x+2)*19
=> 25= x+2
=> x= 23 cm
so, smaller parallel side= 23 cm
Now, largest parallel side= 23+4= 27cm
__________________
hope it helps you☺✌✌
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