Question

the area of trapezium is 768cm² .it's altitude is 16 cm and one of the parallel sides is 10cm longer than the other . find the length of the parallel sides​

Answer 1

Step-by-step explanation:

Given,

Area of Trapezium = 768 cm^2cm

Altitude or height of Trapezium = 16 cm

Let the length of one of its parallel side be x

The other parallel side will be 10 + x

we know that :-

$\begin{gathered} \bf \: area \: of \: trapezium \: \\ \bf = \frac{1}{2} (sum \: of \: its \: parallel \: sides)height \\ \bf \therefore \frac{1}{2} (x + 10 + x)16 = 768 \\ \bf\frac{1}{2} (2x + 10) 16 = 768 \\ \bf \: 1(2x + 10)8 = 768 \\ \bf (2x + 10)8 = 768 \\ \bf16x + 80 = 768 \\ \bf 16x = 768 - 80 \\ \bf 16x = 688 \\ \bf x = \frac{688}{16} \\ \bf x = 43\end{gathered}$

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Answer 2

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