The area of a trapezium is 150 Sq cm and length of one parallel side is twice of the other parallel side and its height is 10 cm .Then the length of parallel sides are
a.10cm ,40cm
b.20cm ,30cm
c.10cm ,30cm
d.10cm ,20cm
Give answer with process.
Answers
Answer:
Given:
Parallel sides are in the ratio = 2 ∶ 3
Distance between the parallel sides = 15 cm
Area of trapezium = 150 cm2
Formula used:
Area of a trapezium
Where,
a, b = Two parallel sides
d = Distance between the two parallel sides
Calculations:
Let the parallel sides be 2x and 3x
Area of trapezium = (1/2) × (2x + 3x) × 15
⇒ (1/2) × (2x + 3x) × 15 = 150
⇒ (1/2) × 5x = 10
⇒ 5x = 20
⇒ x = 4
The parallel sides of trapezium:
⇒ 2x = 8 cm
⇒ 3x = 12 cm
∴ The length of shorter parallel side is 8 cm
Answer:
The length of shorter parallel side is 8 cm
Step-by-step explanation:
Given:
Parallel sides are in the ratio = 2 ∶ 3
Distance between the parallel sides = 15 cm
Area of trapezium = 150 cm2
Formula used:
Area of a trapezium
Where,
a, b = Two parallel sides
d = Distance between the two parallel sides
Calculations:
Let the parallel sides be 2x and 3x
Area of trapezium = (1/2) × (2x + 3x) × 15
⇒ (1/2) × (2x + 3x) × 15 = 150
⇒ (1/2) × 5x = 10
⇒ 5x = 20
⇒ x = 4
The parallel sides of trapezium:
⇒ 2x = 8 cm
⇒ 3x = 12 cm
∴ The length of shorter parallel side is 8 cm
Hope it helps!