Question

the area of a trap.is 180cm^ and height is 9cm.if one of the sides is longer than the other by 6cm find out the lengths of the parallel sides

Answer 1

hey mate

here is your answer

Answer 2

Answer:

your answer is 17 cm.

Step-by-step explanation:

Area of trapezium = 1/2 ( sum of two bases ) x height

let the sides of trapezium be x and other be (x+6)

then, A.T.Q:-

180 cm²= 1/2 ( sum of two bases ) x height

180 cm²= 1/2 (x+x+6)×9

180/9 cm²= 1/2 (2x + 6)

20 = (x+3)

x= 20 - 3

x = 17 cm