Question

the lengths of The parallel sides of a Trapezium are in the ratio 4 is to 5 and the distance between them is 10 centimetre is the area of trapezium is 120 CM square find the length of its parallel sides

Answer 1

$hey \: there \: your \: answer \\ \\ let \: the\: parallel \: sides \: be \: 4x\: and \:5x \\ \\ so \\ area \: of \: trapezium \\ \: \: \: \: \: \: \: \: \: => \frac{1}{2} \times ( 4x + 5x) \times 10 = 120\\ \: \: \: \: \: \: \: =>\frac{1}{2} \times 9x \times 10 = 120 \\ \: \: \: \: \: \: \: \: => 9x = \frac{120}{10} \\ \: \: \: \: \: \: \: \: => 9x = 12 \\ \: \: \: \: \: \: \: \: => x = \frac{12}{9} = 1.33 \\ \\ sides = 4x = 4 \times 1.33 = 5.32cm \\ \: \: \: \: \: \: \: \: \: \: \: = 5x = 5 \times 1.33 = 6.65cm \\ \\ \\ please \: mark \: me \: brainlist$

Answer 2

Hope my answer will help you