The area of a trapezium is 180 cm² and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm, find the two parallel sides.
Answers
Answered by
47
let the one parallel side be x other =x+6
area=1/2 ×9×(x+x+6)
180=1/2×9×18x+54
area=1/2 ×9×(x+x+6)
180=1/2×9×18x+54
Answered by
87
Answer :
The two parallel sides are 17 cm and 23 cm.
Step-by-step explanation :
Let the parallel sides be x and ( x + 6 ).
According to the question ;
Area of trapezium = 1 / 2 × ( x + x + 6 ) × 9
⇒ 180 = 9 ( 2x + 6 ) / 2
⇒ 9 ( 2x + 6 ) = 180 × 2
⇒ 18x + 54 = 360
⇒ 18x = 360 - 54
⇒ 18x = 306
⇒ x = 306 / 18
⇒ x = 17 cm.
Therefore, the parallel sides are ;
x = 17 cm.
x + 6 = 23 cm
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