Question

The area of a trapezium is 34cm2

and the length of one of the parallel side is

10 cm and its height is 4cm. Find the length of the other parallel side?​

Answer 1

Answer:

The area of a trapezium is 34 cm2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side. Hence, the required other side = 7 cm.

Answer 2

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$area = {34}^{2} \: c \: \\ length \: of \: one \: parallel \: side \: (a) = 10 \: cm \\ second \: side \: (b) = b \\ height = 4 \: cm$

$area = \frac{1}{2} (a + b) \times h \\ 34 = \frac{1}{2} (10 + b) \times 4 \\ \frac{34 \times 2}{4} = 10 + b \\ 17 = 10 + b \\ b = 17 - 10 \\ b = 7$

hope it will help you