9. One of the parallel sides of a trapezium is thricethe other and the

1.	9. One of the parallel sides of a trapezium is thricethe other and the height is half the sum of theparallel sides. If the area of the trapezium is400 cm', find the lengths of its parallel sides.
Answer» Step-by-step explanation: let is parallel side be X and y x =3y [One of the parallel sides of a TRAPEZIUM is thrice the other] H = ½(x + y) [height is HALF the sum of the parallel sides] area of trapezium= ½(sum of parallel sides)height 400 =½(x + y)½(x + y) 400 = ¼(x + y) 400 * 4 = (x + y) 1600 = x + y 1600 =3y + y 1600 = 4y 1600/4 = y 400 = y x = 3y x =3 * 400 x = 1200

9. One of the parallel sides of a trapezium is thricethe other and the height is half the sum of theparallel sides. If the area of the trapezium is400 cm', find the lengths of its parallel sides.

Answer»

Step-by-step explanation:

let is parallel side be X and y

x =3y [One of the parallel sides of a TRAPEZIUM is thrice the other]

H = ½(x + y) [height is HALF the sum of the

parallel sides]

area of trapezium= ½(sum of parallel sides)*height

400 =½(x + y)*½(x + y)

400 = ¼(x + y)

400 * 4 = (x + y)

1600 = x + y

1600 =3y + y

1600 = 4y

1600/4 = y

400 = y

x = 3y

x =3 * 400

x = 1200

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9. One of the parallel sides of a trapezium is thricethe other and the height is half the sum of theparallel sides. If the area of the trapezium is400 cm', find the lengths of its parallel sides.​

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9. One of the parallel sides of a trapezium is thricethe other and the height is half the sum of theparallel sides. If the area of the trapezium is400 cm', find the lengths of its parallel sides.