Question

the area of a trapezium is 224 square and its height is 14 cm if one of the parallel side is longer than other by 8 cm find the length of two parallel sides​...ANSWER ME ....☺​

Answer 1

Answer :

›»› The length of two parallel sides are 12 cm and 20 cm respectively.

Step-by-step explanation :

Given :

• Area of trapezium = 224 cm².
• Height of a trapezium = 14 cm.
• One of the parallel side is longer than other by 8 cm.

To Find :

• The length of two parallel sides = ?

Formula required :

To find the length of two parallel sides we use the formula of area of trapezium.

Formula of area of trapezium to calculate the length of two sides is given by,

→ Area of trapezium = 1/2 * (a + b) * h.

Here,

• a and b are the length of two parallel sides.
• h is the Height of trapezium.

Units,

• The unit of length of two parallel sides is centimetre (cm).
• The unit of Height is centimetre (cm).

Solution :

Let us assume that, the parallel side of trapezium is x cm.

As it is given that, one of the parallel side is longer than other by 8 cm.

→ x + 8 cm.

As we know that

→ Area of trapezium = 1/2 * (a + b) * h.

By using the formula and substituting all the given values in the formula, we get :

→ 224 = 1/2 * ( x + x + 8) * 14

→ 224 = 1/2 * (2x + 8) * 14

→ 224 = 1 * (2x + 8) * 7

→ 224 = (2x + 8) * 7

→ 224/7 = 2x + 8

→ 32 = 2x + 8

→ 32 - 8 = 2x

→ 24 = 2x

→ 2x = 24

→ x = 24/2

→ x = 12

Therefore,

• 1st side = x = 12 cm.
• 2nd side = x + 8 = 12 + 8 = 20 cm.

Hence, the length of two parallel sides are 12 cm and 20 cm respectively.