Question

If the area of a trapezium is 248sq.m its hight is 8m it one of the parallel side is smaller than the other by 4m find the 2 parallel side

Answer 1

Step-by-step explanation:

Area of trapezium = 248m²

height = 8m

parallel side1 = x

parallel side2 = x-4

area = ½ × height × ( sum of parallel sides )

248 = ½ × 8 × ( x + x-4 )

248 = 4 × 2x-4

4 × (2x-4) = 248 ( transposing )

4x - 8 = 248

4x = 248 - 8

4x = 240

x = 240/4

x = 60

1st parallel side = x = 60

2nd parallel side = x-4 = 60-4 = 56