Question

the perimeter of a Trapezium is 104 M its non parallel sides are 18 M and 22 M and its altitude is 16 m find the area of the trapezium

Answer 1

we know that two non parallel sides are a=18m and b= 22m .
so , perimeter = a+b+c+d                   [c and d  =a+a=2a] 
                104  =18m+22m +2a
                        a=32
       so each parallel sides are 32m and 32 m. 
        area =1/2(sum of parallel sides )*distance betweeen them
                = 1/2*64*16
                = 32*16
                =512


            

Answer 2

perimeter =a+b+c+d
104=18 +22+2a
104=40+2a
104 -40 =2a
64=2a
32=a
therefore each parallel side is 32

area =1/2(a+b)h
= 512ans.