Question

Today's question

The Area of trapezium of height 24.2 cm is 605 cm².one of the parrallel sides is 21 cm,find the other side.​

Answer 1

Answer:

Distance between parallel sides = height of trapezium

Area of trapezium =

2

1

(sum of parallel sides) × height

441=

2

1

(x+28)×18

⇒x+28=49⇒x=21cm

Answer 2

$\bold{Given :} \\ \\ = > area = 605 \: cm {}^{2} \\ = > height = 24.2 \: cm \\ = > one \: parallel \: side = 21 \: cm \\ \\ \bold{</p><p>To \: find :} \\ \\ = > other \:parallel \: side \: of \: trapezium \\ \\ \bold{Solution :} \\ \\ = = > Area \: of \: trapezium = \frac{1}{2} (a + b)(h) \\ \\ = = > \frac{1}{2} (21 + b)(24.2) = 605 \\ \\ = = > \frac{508.2 + 24.2}{2} = 605 \\ \\ = = > 508.2 + 24.2b = 605 \times 2 \\ \\ = = >508.2 + 24.2b = 1210 \\ \\ = = > 24.2b = 1210 - 508.2 \\ \\ = = > 24.2b = 701.8 \\ \\ = = > b = \frac{701.8}{24.2} \\ \\ = = > b = \frac{ \cancel{7018}}{ \cancel{242}} \\ \\ = = > b = \bold{29 \: cm} \\ \\ Therefore, \: other \: side \: is \: of \: \red{ 29 \: cm.} \\ \\ \bold{Verifying :} \\ \\ = = > \frac{1}{2} (29 + 21)(24.2) = 605 \\ \\ = = >\frac{50}{2} (24.2) = 605 \\ \\ = = > 25 \times 24.2 = 605 \\ \\ = = > 605 = 605 \\ \\ = = > L.H.S = R.H.S \\ \\ </p><p></p><p>Hence , \: our \: answe r \: is \: correct .</p><p></p><p>$