The area of a trapezium is 45 cm2
and the perpendicular distance
between its parallel sides is 5 cm. If the length of one of its parallel sides is
6cm, find the length of the other parallel side.

x=12

Step-by-step explanation:

A=(6+x)*5/2=45

so (6+x)*5=45*2=90

6+x=90/5

6+x=18

x=18-6

x=12

12 cm

Step-by-step explanation:

Area of trapezium

½ × (sum of // sides) × h

45 = ½(6 + x) × 5

6 + x = 18

x = 12

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.