Question

the area of a trempezium is 457cm² and the height is 19 cm find its two parallel side if one side is 4 cm greater than other​

Answer 1

Area of trapezium = 457cm²

Distance between two parallel sides( height) = 19 cm

Also, one side is 4 cm greater than another side

Let one side be x, then the other side will be x + 4

Area of trapezium = 1/2 × sum of parallel sides × height

Putting the values in the above formula

457 = 1/2  × ( x + x + 4 )  × 19

48.105 = 2x + 4

44.105 = 2x

x = 22.05

So,  x + 4 = 22.05 + 4

               = 26.05

So, the sides of the trapezium will be approximately 22.05 cm and 26.05 cm