Question

The area of trapezium is 1500 sq.cm. One of the parallel side 10cm. more than the other. If distance between parallel sides is 8 c.m., find the length of parallel sides

Answer 1

Given :

• Area of trapezium = 1500 cm²

• Length of parallel side ( P₁ ) = 10 cm

• Height of trapezium = 8 cm

To Find :

• Lenght of parallel side ( P2 )

Solution :

Area of trapezium = 1/2 × h ( P₁ + P₂ )

→ 1500 = 1/2 × 8 ( 10 + P₂ )

→ 1500 = 4 ( 10 + P₂ )

→ 1500 = 40 + 4P₂

→ 4P₂ = 1500 - 40

→ 4P₂ = 1460

→ P₂ = 1460/4

→ P₂ = 365 cm

Answer 2

Given :

Area of trapezium = 1500 cm²

Length of parallel side ( P₁ ) = 10 cm

Height of trapezium = 8 cm

To Find :

Length of parallel side ( P2 )

Solution :

Area of trapezium = 1/2 × h ( P₁ + P₂ )

→ 1500 = 1/2 × 8 ( 10 + P₂ )

→ 1500 = 4 ( 10 + P₂ )

→ 1500 = 40 + 4P₂

→ 4P₂ = 1500 - 40

→ 4P₂ = 1460

→ P₂ = 1460/4

→ P₂ = 365 cm