Question

if two parallel sides of a trapezium a=10cm ,b=20cm, and distance between two parallel sides is 30cm.find its area​

Answer 1

(refer to the attachment)

GiveN:-

Two parallel sides of a trapezium a=10cm ,b=20cm, and distance between two parallel sides is 30cm.

To FinD:-

Find its area.

SolutioN:-

We know that,

$\large{\green{\underline{\boxed{\bf{Area=\dfrac{1}{2}\times(sum\:of\:the\:parallel\:sides)\times(Distance\:between\:them)}}}}}$

where,

• Sum of parallel sides are = 10 + 20 = 30 cm.
• Distance between them is 30 cm.

Putting the values,

$\large\implies{\sf{Area=\dfrac{1}{2}\times(20+10)\times30}}$

$\large\implies{\sf{Area=\dfrac{1}{\cancel{2}}\times30\times\cancel{30}}}$

$\large\implies{\sf{Area=1\times30\times15}}$

$\large\therefore\boxed{\bf{Area=450\:cm^2.}}$

The area of the Trapezium is 450 cm².

Answer 2

Answer :

›»› The area of a trapezium is 450 cm².

Step-by-step explanation :

Given :

• Two parallel sides of a trapezium = 10 cm and 20 cm.
• Distance between two parallel sides = 30 cm.

To Find :

• Area of a trapezium = ?

Formula required :

Formula to calculate the area of trapezium is given by,

→ Area of trapezium = 1/2 * (a + b) * distance between them.

Here,

• a and b are the two parallel sides of trapezium.

Units,

• The unit of area of trapezium is cm².
• The unit of two parallel sides is cm.
• The unit of distance between them is cm.

Solution :

We know that, if we are given with the two parallel sides and distance between them then we have the required formula, that is,

→ Area of trapezium = 1/2 * (a + b) * distance between them.

By using the formula to calculate the area of trapezium and substituting all the given values in the formula, we get :

→ Area of trapezium = 1/2 * (10 + 20) * 30

→ Area of trapezium = 1/2 * 30 * 30

→ Area of trapezium = 1 * 15 * 30

→ Area of trapezium = 15 * 30

→ Area of trapezium = 450.

Hence, the area of a trapezium is 450 cm².