Question

if the trapezium shaped field area is 480m² if the distance between two parllel sides is 32 m and ratio between two parallel side is 1: 2 finds its parallel sides​

Answer 1

Answer :

›»› The two parallel sides of a trapezium is 10 m and 20 m respectively.

Given :

• The area of trapezium shaped field = 480 m².
• The distance between two parallel sides = 32 m.
• The ratio of two parallel side = 1 : 2.

To Find :

• The parallel sides of a trapezium = ?

Solution :

Here, as per the question we have provided that the area of trapezium, distance between two parallel sides, and ratio of two parallel sides of a trapezium.

We are asked to find the parallel sides of a trapezium. So firstly we will consider the ratio of two parallel sides.

Let us assume that, the two parallel sides of a trapezium is "1x" and "2x" respectively.

We know that, the distance between two parallel sides and height are same.

• Distance between two parallel sides = Height.

According to the given question,

As we know that

→ Area of trapezium = 1/2 * (sum of parallel sides) * height

→ 480 = 1/2 * (1x + 2x) * 32

→ 480 = 1/2 * 3x * 32

→ 480 = 1 * 3x * 16

→ 480 = 3x * 16

→ 480 = 48x

→ x = 480/48

→ x = 10

Therefore,

The two parallel sides of a trapezium will be,

• 1x = 1 * 10 = 10 m.
• 2x = 2 * 10 = 20 m.

Hence, the two parallel sides of a trapezium is 10 m and 20 m respectively.

Answer 2

Answer:

Answer:

10 metre and 20 metre is it's parallel sides

Step-by-step explanation:

Question:-

Trapezium shaped field area is 480 metre² . Distance between two parallel lines is 32 metre. Ratio between two parallel sides 1:2

Given:-

Trapezium shaped field area given: 480 metre²

Distance between two parallel sides given : 32 metre

And,

Ratio in between two parallel sides is also given: 1:2

Find out :-

Its parallel sides

Knowledge required to solve:-

• Let the two sides be "X" and another be "2X"
• And area be (1/2) × sum of parallel side X Distance between parallel
• So the sum of parallel side is (2X+X) = 3X
• Distance between parallel side is 32 metre
• We know distance between two parallel sides =Height

Formula to be used :-

=》(1/2) × (x+2x) ×32 = 480

Solution:-

=》 (1/2) × (x×2x) ×32 = 480

=》 (1/2) × 3x × 32 = 480

=》 1 × 3x × 32/2 = 480

=》1 × 3x × 16 = 480

=》3x × 16 = 480

=》48 x = 480

=》x = 480/ 48

=》x = 10

• ° • The two parallel sides of a trapezium be

x = 1 × 10 = 10 metre

2x = 2 x 10 = 20 metre

•°• Two parallel sides of a trapezium be 10 Metre and 20 Metre