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 1

☆ Solution ☆

Given :-

• 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.

To Find :-

• The length of two parallel sides.

Step-by-Step-Explaination :-

Let one of the parallel sides be x cm

The other parallel side = (x + 8)cm

Area of trapezium = 224 cm²

Height of the trapezium = 14 cm

As we know that:-

Area of the trapezium = 1/2 × (sum of paralel side) × height

Putting the respective value,

224 = 1/2 × ( x + x + 8 ) × 14

224 = 1/2 × ( 2x + 8 ) × 14

224 = 7 ( 2x + 8 )

224/7 = ( 2x + 8)

32 = (2x + 8)

32 - 8 = 2x

24 = 2x

x = 24/2

x = 12

Length of one of the parallel lines = x = 12 cm

Length of the other parallel line

= x + 8

= 12 + 8

= 20 cm

Hence Solved !

Answer 2

Step-by-step explanation:

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

One of the parallel sides measures 12 cm and another 20 cm

Let's solve it step by step

Now,

Given in the question:-

• Area of a trapezium is 224²
• Height is 14 cm

A condition is given :

1. one of the parallel side is longer than other by 8 cm

Find out in the question:-

1. Length of two parallel sides

Let

1. Let one of the parallel sides be X and ,
2. Another parallel side be Y

So, the parallel side with value X is ( X + 8 ) [ Reason: See in Condition it is already mentioned that one of the parallel side is 8 cm long than other and other angle we consider it as Y ]

Formula to be used

$area \: of \: trapezium \: = \frac{1}{2} \times sum \: of \: parallel \: side \: \times heigjt$

Now Putting the value

$= > 224 = \frac{1}{2} \times (x +( x + 8)) \times 14$

$= > 224 = \frac{1}{2} (2x + 8) \times 14$

$= > 224 = 7(2x +8 )$

$= > \frac{224}{7} = 2x + 8$

Now when 7 is divided by 224 it comes 32 so,

$= > 32 = 2x + 8$

$= > 2x = 32 - 8$

$= > 2x = 24$

$= > x = \frac{24}{2}$

So, when two is divided by twenty four it comes 12

$•°• \: x = 12 \: cm$

Length of parallel side whose value is X is 12 cm

Length of parallel side whose value is y

= 》X + 8

=》12 + 8

= 》20 cm

•°• Value of parallel side with name Y is 20 cm

Hence, One parallel side is 12 cm and another is 20 cm