Question

If length of parallel sides of trapezium are in the ratio 6:8, distance between their parallel sides is 12 cm and area is 168 sq. cm. Find length of parallel sides of trapezium.

1. 10 cm , 12 cm
2. 12 cm , 16 cm
3. 12 cm , 16 cm
4. 12 cm , 18 cm

which one is correct
if you answer correctly I mark you brainleist​

Answer 1

Answer:

3. 12cm, 16cm

Step-by-step explanation:

let the common ratio be x

then, parallel sides are 6x and 8x

A=1/2×h(a+b). [ a & b are parallel sides]

or,168=1/2 × 12(6x+8x)

or, (168×2)12= 14x

or, 28 = 14x

x= 2

so,

6x = 12 & 8x = 16

Answer 2

Given data : If length of parallel sides of trapezium are in the ratio 6 : 8, distance between their parallel sides is 12 cm and area is 168 cm².

To find : Find length of parallel sides of trapezium.

Solution : Let, the side of parallel sides of trapezium be 6x and 8x.

Now, a/c to given data; height of the trapezium is 12 cm and its area is 168 cm².

Now, we use formula: Area of trapezium;

➜ Area of trapezium = 1/2 * height * sum of parallel sides

➜ 168 = 1/2 * 12 * (6x + 8x)

➜ 168 = 6 * 14x

➜ 6 * 14x = 168

➜ 84x = 168

➜ x = 168/84

➜ x = 2

Now,

➜ 6x = 6 * 2 = 12 cm

➜ 8x = 8 * 2 = 16 cm

Answer : Hence, the length of parallel sides of trapezium are 12 cm and 16 cm.

{ Trapezium :

• The pair of parallel sides are called the bases while the non-parallel sides are called the legs of the trapezoid.
• The sum of all the four angles of the trapezium is equal to 360°
• A trapezium has two parallel sides and two non-parallel sides
• The diagonals of regular trapezium bisect each other
• The length of the mid-segment is equal to half the sum of the parallel bases, in a trapezium
• Two pairs of adjacent angles of a trapezium formed between the parallelogram sides and one of the non-parallel side, add up to 180 degrees.}