Question

The area of a trapezium is 176 cm2. The
distance between parallel sides is 8 cm and one of the
parallel sides is 10 cm. Find the other.​

Answer 1

Area of trapezium

= 1 2 (sum of parallel sides)(altitude) Here, rea = 176 cm ^ 2 ;sum of parallel sides =10+x; altitude = 8 cm

By substituting we get,

=>176= ½(10+x)8

=>176=(10+x)4

=>44=10+x

=> 34

Therefore, length of the other side is 34cm.

Answer 2

Area of trapezium= 1/ 2 (sum of parallel sides)(altitude)

Here, rea = 176 cm ^ 2 ;sum of parallel sides =10+x; altitude = 8 cm

By substituting we get,

⇒176= ½(10+x)8

⇒176=(10+x)4

⇒44=10+x

⇒ 34

Therefore, length of the other side is 34cm.

Answer 3

Area of trapezium

= 1 2 (sum of parallel sides)(altitude) Here, rea = 176 cm ^ 2 ;sum of parallel sides =10+x; altitude = 8 cm

By substituting we get,

⇒176= ½(10+x)8

⇒176=(10+x)4

⇒44=10+x

⇒ 34

Therefore, length of the other side is 34cm.

Answer 4

Area of trapezium

= 1 2 (sum of parallel sides)(altitude) Here, rea = 176 cm ^ 2 ;sum of parallel sides =10+x; altitude = 8 cm

By substituting we get,

⇒176= ½(10+x)8

⇒176=(10+x)4

⇒44=10+x

⇒ 34

Therefore, length of the other side is 34cm.

Answer 5

Area of trapezium

= 1 2 (sum of parallel sides)(altitude) Here, rea = 176 cm ^ 2 ;sum of parallel sides =10+x; altitude = 8 cm

By substituting we get,

⇒176= ½(10+x)8

⇒176=(10+x)4

⇒44=10+x

⇒ 34

Therefore, length of the other side is 34cm.

Answer 6

Area of trapezium

= 1 2 (sum of parallel sides)(altitude) Here, rea = 176 cm ^ 2 ;sum of parallel sides =10+x; altitude = 8 cm

By substituting we get,

⇒176= ½(10+x)8

⇒176=(10+x)4

⇒44=10+x

⇒ 34

Therefore, length of the other side is 34cm.

Answer 7

Area of trapezium

= 1 2 (sum of parallel sides)(altitude) Here, rea = 176 cm ^ 2 ;sum of parallel sides =10+x; altitude = 8 cm

By substituting we get,

⇒176= ½(10+x)8

⇒176=(10+x)4

⇒44=10+x

⇒ 34

Therefore, length of the other side is 34cm.

Answer 8

Area of trapezium

= 1 2 (sum of parallel sides)(altitude) Here, rea = 176 cm ^ 2 ;sum of parallel sides =10+x; altitude = 8 cm

By substituting we get,

⇒176= ½(10+x)8

⇒176=(10+x)4

⇒44=10+x

⇒ 34

Therefore, length of the other side is 34cm.

Answer 9

Area of trapezium

= 1 2 (sum of parallel sides)(altitude) Here, rea = 176 cm ^ 2 ;sum of parallel sides =10+x; altitude = 8 cm

By substituting we get,

⇒176= ½(10+x)8

⇒176=(10+x)4

⇒44=10+x

⇒ 34

Therefore, length of the other side is 34cm.

Answer 10

Area of trapezium

= 1 2 (sum of parallel sides)(altitude) Here, rea = 176 cm ^ 2 ;sum of parallel sides =10+x; altitude = 8 cm

By substituting we get,

⇒176= ½(10+x)8

⇒176=(10+x)4

⇒44=10+x

⇒ 34

Therefore, length of the other side is 34cm.

Answer 11

Area of trapezium

= 1 2 (sum of parallel sides)(altitude) Here, rea = 176 cm ^ 2 ;sum of parallel sides =10+x; altitude = 8 cm

By substituting we get,

⇒176= ½(10+x)8

⇒176=(10+x)4

⇒44=10+x

⇒ 34

Therefore, length of the other side is 34cm.

Answer 12

Area of trapezium

= 1 2 (sum of parallel sides)(altitude) Here, rea = 176 cm ^ 2 ;sum of parallel sides =10+x; altitude = 8 cm

By substituting we get,

⇒176= ½(10+x)8

⇒176=(10+x)4

⇒44=10+x

⇒ 34

Therefore, length of the other side is 34cm.