Question

if the two parallel sides of a trapezium are 15cm and 25cm respectively and the distance between them is 7.0 cm, then area of the trapezium is

Answer 1

area of trapezium equal to 1/2 into sum of parallel side into height .
1 by 2 into (15 + 25) into 7
1/2 into 40 into 7
20 into 7
140 centimetre square

Answer 2

$height = 7cm \\ a(height1) = 15 \\ b(height2) = 25 \\ area \: of \: trapezium \: = \frac{1}{2} \times \: h \: \times \: (a + b) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times 7(15 + 25) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times 7(40) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 \times 7 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 140cm {}^{2} \\ area \: of \: trapezium \: = 140cm {}^{2}$