Question

if the area of trapezium 780 cm ² and height is 26 cm whose one parallel side is 42 cm find the other parallel side​

Answer 1

Step-by-step explanation:

ar of trapzium = sum of parallel sides /2*height

780=42+x/2*26

780=(42+x)13

780/13=42+x

60=42+x

x=18

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Answer 2

Answer:

Another side is 18cm ☑

Step-by-step explanation:

$\sf : \implies \: {Area \: of \: trapezium \: is = \: \frac{(a + b)}{2} h} \\ \sf : \implies \: {780cm}^{2} = \frac{a + 42}{2} \times 26\\ \sf : \implies \: {780} = 13(a + 42)\\ \sf : \implies \: 780 = 13a + 546\\ \sf : \implies \: 13a = 780 - 546\\ \sf : \implies \: 13a = 234\\ \sf : \implies \: a = \frac{234}{13} \\ \sf : \implies \: a = 18cm$