Question

Find the distance between the two parallel sides of the trapezium, if its area is 440 cm and
parallel sides measure 30 cm and 14 cm
​

Answer 1

Step-by-step explanation:

we have -

parallel side a =30cm

" b=14cm

area = 440 cm

use the trapezium formula

area = 1/2+2(sum of parallel sides)

Answer 2

Correct Question ::

Find the distance between the two parallel sides of the trapezium, if its area is 440cm² and

parallel sides measure 30cm and 14cm.

Answer ::

The distance between them is 20cm.

Step-by-step explanation ::

To Find :-

• The distance between two parallel sides of trapezium

Solution :-

Given that,

• Area of trapezium = 440cm²
• The length of parallel sides are 30cm and 14cm

As we know that,

Area of trapezium = 1/2 × ( sum of parallel sides ) × distance between them

Let us assume the distance between the two parallel sides ( height ) as h,

ACCORDING THE QUESTION,

⟾ 1/2 × ( 30 + 14 ) × h = 440

⟾ 1/2 × 44 × h = 440 ... dividing 44 and 2 with 2

⟾ 1 × 22 × h = 440

⟾ h = 440 / 22 .... dividing 440 and 22 with 2

⟾ h = 220 / 11 ... dividing 220 with 11

⟾ h = 20 ★

The height ( distance between them ) is 20cm.

Now Verification,

⟾ 1/2 × ( sum of parallel sides ) × distance between them = Area

⟾ 1/2 × ( 30 + 14 ) × 20 = 440

⟾ 1/2 × 44 × 20 = 440

⟾ 1 × 44 × 10 = 440

⟾ 44 × 10 = 440

⟾ 440 = 440

L.H.S = R.H.S

Hence, Verified !