Question

if lengths of the parallel sides of a trapezium are 8 1/2cm,6cm and height is 5cm ,find the area of trapezium​

Answer 1

Given

• Height of trapezium = 5cm
• Parallel sides of trapezium = 81/2cm and 6cm

Find out

• Find the area of trapezium

Solution

As we know that

★ Area of trapezium ★

→ ½ × sum of parallel sides × height

→ ½ × (81/2 + 6) × 5

→ ½ × (81 + 12/2) × 5

→ ½ × 93/2 × 5

→ 465/4

→ 116.25 cm²

Hence, the area of trapezium is 116.25cm²

Additional Information

• Area of rectangle = length × breadth
• Perimeter of rectangle = 2(l + b)
• Area of llgm = base × height
• Area of rhombus = ½ × product of diagonals
• Area of square = side × side
• Perimeter of square = 4 × side
• Area of circle = πr²
• Circumference of circle = 2πr

Answer 2

Gɪᴠᴇɴ :-

• Parallel sides (a and b) = 6cm and 81/2 = 40.5cm
• Height (h) = 5cm

ᴛᴏ ғɪɴᴅ :-

• Area of Trapezium

sᴏʟᴜᴛɪᴏɴ :-

We know that,

• Area of Trapezium = ½ × (sum of parallel sides) × (Distance between them)

• Area = ½ × (a + b) × (h)

➮ Area = ½ × (6 + 40.5) × 5

➮ Area = ½ × 46.5 × 5

➮ Area = 232.5/2

➮ Area = 116.25 cm²

Hence,

• Area of Trapezium = 116.25 cm²