Question

The ratio of the parallel sides of a trapezium is 2:3. the distance between them is 15cm.if the area of the trapezium is 600cm2. find the length of the parallel sides??

Answer 1

the answer is thirty two and forty eight

Answer 2

The length of the parallel sides are "32 cm and 48 cm".

Step-by-step explanation:

Let  the parallel sides of a trapezium = 2x and 3x

Given,

The distance between them = 15 cm and

the area of the trapezium = 600 $cm^2$

To find, the length of the parallel sides = ?

We know that,

Area of the trapezium

= $\dfrac{1}{2}$ × (the sum of parallel sides) × (distance between them)

⇒ $\dfrac{1}{2}$× (2x + 3x) × (15) = 600

⇒  5x × 15 = 600 × 2 = 1200

⇒  75x = 1200

⇒ x = $\dfrac{1200}{75} =16$

∴ $2x=2\times 16=32$ and $3x=3\times 16=48$

Hence, the length of the parallel sides are "32 cm and 48 cm".