area of trapezoid is 105 cm^2 and its height is 7 cm if one parallel side is longer than the other by 6cm find the two parallel side
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area of trapezium = 1/2 * height * (sum of parallel sides)
let one of the side be x cm
therefore, other side will be x+6 cm
Now, Putting all the values in formula
105 = 1/2 * 7 * (x+x+6)
(105*2)/7 = x+x+6
30 = 2x+6
30-6 = 2x
24 = 2x
x = 24/2
x = 12
therefore,
One side will be x=12 cm
Other side will be x+6=12+6=18 cm
Answer:- 12 cm and 18 cm
let one of the side be x cm
therefore, other side will be x+6 cm
Now, Putting all the values in formula
105 = 1/2 * 7 * (x+x+6)
(105*2)/7 = x+x+6
30 = 2x+6
30-6 = 2x
24 = 2x
x = 24/2
x = 12
therefore,
One side will be x=12 cm
Other side will be x+6=12+6=18 cm
Answer:- 12 cm and 18 cm
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