Question

The area of the trapezium is 180centimetres² and it's height is 9 centimetres. If one of the parallel side is longer than the other by 6centimetres,find the two parallel side.​

Answer 1

Given :-

• Shape = Trapezium
• Area of the Trapezium = 180cm²
• Height of the Trapezium = 9cm
• One of the Parallel Side is longer than the other by 6cm

To Find :-

• The Two Parallel Sides of the Trapezium.

Solution :-

➟ Let the First Side be x cm

➟Then the Second Side will be x+6cm

According to the Question :

➞ Area = ½ × Height × Sum of Parallel Sides

➞ 180 = ½ × 9 × ( x + x + 6 )

➞ 180 / 9 = ½ × 2x + 6

➞ 20 = ½ × 2x + 6

➞ 20 × 2 = 2x + 6

➞ 40 = 2x + 6

➞ 40 - 6 = 2x

➞ 34 = 2x

➞ 34 / 2 = x

➞ 17cm = x

_______________

Therefore :-

• First Side = x = 17cm
• Second Side =x+6=17+6= 23cm

_______________

Verification :-

⟾ ⠀Area =½×Height×Sum of Sides

⟾ ⠀⠀Area = ½ × 9 × ( 17 + 23 )

⟾ ⠀⠀Area = ½ × 9 × 40

⟾ ⠀⠀Area = 9 × 20

⟾ ⠀⠀180 = 180

$\red{\boxed{\bf{Hence \:Verified}}} \green\checkmark$

_______________

$\purple{\bf{✿┅═══❁✿ Be\: Brainly✿❁═══┅✿}}$

Answer 2

Answer:

➟ Let the First Side be x cm

➟Then the Second Side will be x+6cm

According to the Question :

➞ Area = ½ × Height × Sum of Parallel Sides

➞ 180 = ½ × 9 × ( x + x + 6 )

➞ 180 / 9 = ½ × 2x + 6

➞ 20 = ½ × 2x + 6

➞ 20 × 2 = 2x + 6

➞ 40 = 2x + 6

➞ 40 - 6 = 2x

➞ 34 = 2x

➞ 34 / 2 = x

➞ 17cm = x

_______________

Therefore :-

First Side = x = 17cm

Second Side =x+6=17+6= 23cm

_______________

Verification :-

Area =½×Height×Sum of Sides

Area = ½ × 9 × ( 17 + 23 )

Area = ½ × 9 × 40

Area = 9 × 20

180 = 180

Hence Verified ✓