Question

the area of trapezium is 5.4 m square if one parallel side is 5 M less than twice the other parallel side and the distance between them is 1.4 M find the length of both the parallel sides ​

Answer 1

Answer:

89/21 and 73/21

Approximate values to 1 decimal place:

4.2 and 3.5

Step-by-step explanation:

Let a and b be the lengths of the parallel sides.

One is 5 less than twice the other

=> b = 2a - 5

Area = (a+b)/2 × h

       = (a + 2a - 5)/2 × h

       = (3a-5)/2 × h

=> 5.4 = (3a-5)/2 × 1.4

=> (3a-5)/2 = 5.4/1.4 = 54/14 = 27/7

=> 3a-5 = 27/7 × 2 = 54/7

=> 3a = 54/7 + 5 = 54/7 + 35/7 = 89/7

=> a = 89/7 ÷ 3 = 89/21

Also

b = 2a-5 = 89/21 × 2 - 5

  = 178/21 - 105/21

  = 73/21