Question

The area of a trapezium is 84 sq. m and the distance between its parallel sides is 6 m. If the length of one of the parallel sides is 5 m, then the length of the other is:
3 points
a. 30 cm
b. 30 m
c. 28 m
d. 23 m

Answer 1

$let \: the \: length \: of \: other \: side \: = \: x$

$area \: of \: trapezium \: = \: \frac{1}{2} \times (5+ x) \times 6$

$84 = \frac{1}{2} \times( 5 + x) \times 6 \\ = > 5 + x = \frac{ 84 \times 2}{6} \\ = > 5 + x = 28 \\ = > x = 28 - 5 \\ = > x = 23$