Question

Area of trapezium is 84sqm. Its parallel sides are 12 m and 19 m. Find the distance between them.

Answer 1

Area of the trapezium = ½×(sum of parallel sides) × height(distance between them)

Putting the values on the formula

84 = ½ × (12 +19) × height
84 = ½ × 31 × height
84 × 2 = 31 ×height
168\31 = height
5.3 = height

Answer 2

area of trapezium =
$\frac{1}{2} \times distence \: \time \: {sum of \: parallel \: sides$
$= \frac{1}{2} \times h \times (12 + 19) \\ 84 = \frac{1}{2} \times h \times 31 \\ h \: = 84 \times 2 \div 31 \\ h = 168 \div 31 \\ h = 5.41m$