Question

The area of a trapezium is 315 sq cm and the perpendicular distance between it's parallel sides is 18 cm. what is the sum of its parallel sides​

Answer 1

Answer:

The sum of its parallel sides is 35cm

Explanation :

Area of a trapezium : ½ • (a + b) • h

Where,

• (a + b) denotes the sum of the parallel sides.
• ‘h’ is the distance between (a + b) i.e., 18cm
• And, the area is 315cm²

According to the question :

→ 315 = ½(a + b) • 18

→ 315 = (a + b) • 9

→ 315/9 = (a + b)

→ 35 = (a + b)

Therefore, the sum of the parallel sides is 35cm.

______________________

Units :

• The dimensions are measured in cm units.

Formula used :

• Area of a trapezium : ½(a + b) • h

Answer 2

Step-by-step explanation:

Height = 18cm

area of a trapezium = 315 sq cm

$\frac{1}{2} (a + b)h = 315 \\( a + b)18 = 315 \times 2 \\ ( a + b) = \frac{315 \times 2}{18} \\ ( a + b) = 35$

the sum of its parallel sides = 35cm