Question

Find the height of a trapezium, the sum of the lengths of whose bases is 60 cm and whose area is 600 cm.​

Answer 1

Given:-

• Sum of the Length of Bases = 60cm

• Area of Trapezium = 600cm

To Find:-

• Height of trapezium.

Formulae used:-

• Area of trapezium = ½ × Sum of Parallel Sides × Height

Now,

→ Area of trapezium = ½ × Sum of Parallel Sides × Height

→ 600 = ½ × 60 × h

→ 600 × 2 = 60h

→ 1200 = 60h

→ h = 1200/60

→ h = 20cm

Hence, The Height of trapezium is 20cm

PROPERTIES OF TRAPEZIUM:-

• In a trapezium only one opposite sides are equal and Parallel.

• Sum of two adjacent sides is 180°.

Answer 2

GiveN :

• Area = 600 cm²
• Sum of Parallel Sides = 60 cm

To FinD :

• Height

SolutioN :

Use Formula for Area of Trapezium :

⇒Area = ½ * Sum of Parallel Sides * Height

⇒600 = ½ * 60 * Height

⇒600 = 30 * Height

⇒Height = 600/30

⇒Height = 20 cm

$\therefore$ Height of Trapezium is 20 cm.