Question

The area of a trapezium is 84.5 sq cm and its height is 6.5 cm. If one of its parallel sides is 15.2 cm long, what is the
length of the other side ?​

Answer 1

Formula :

Area of trapezium : $(a + b) \div 2 \times h$

Given :

$area \:: 84.5$

$a (base)\: = 15.2$

$b(base) \: = ?$

$height\:: 6.5$

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$Area \: of \: trapezium \: :(a + b) \div 2 \times h$

$84.5 = (15.2 + b) \div 2 \times 6.5$

$84.5 = (15.2 + b) \times 3.25$

$84.5 \div 3.25 = 15.2 + b$

$26 = 15.2 + b$

$26 - 15.2 = b$

$b = 10.8$

So, another length side is 10.8