Question

the area of trapezium is 45 centimetre square and its height is 6 cm find the length of the two parallel sides if one side is twice then another​

Answer 1

Answer:

$\large\boxed{\sf{5\:cm\; \;\;and \;\;\; 10\: cm}}$

Step-by-step explanation:

Let one of the parallel side is "x"

.°. Other parallel side will be "2x"

Also, height = 6 cm

Area of trapezium = 45 sq. cm

Now, we know that,

Area of trapezium is equal to

• ½ × (sum of || sides ) × height

Therefore, we get

$= > \frac{1}{2} \times (x + 2x) \times 6 = 45 \\ \\ = > 3x \times 6 = 45 \times 2 \\ \\ = > 3x \times 3 = 45 \\ \\ = > x = \frac{45}{9} \\ \\ = > x = 5$

Hence, the parallel sides are 5 cm and 10 cm