Question

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Bulu UUTA
If the parallel sides of a trapezium are 22 cm and 38 cm, and its area is 585 cm?
find the height of the trapezium.​

Answer 1

Question:-

• If the parallel sides of a trapezium are 22 cm and 38 cm, and its area is 585 cm? find the height of the trapezium.

Given:-

• Heights of trapezium are 22cm and 38 cm

• Area of trapezium is 585 cm²

To find:-

• Height of trapezium

Solution:-

• We know that area of trapezium is = ½×(a+b)+h

$\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: : \implies \: \frac{1}{2} \times (22 + 38) \times h = 585 {cm}^{2}$

$\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: : \implies \: \frac{1}{2} \times 60 \times h = 585 {cm}^{2}$

$\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: : \implies \: \frac{1}{ \cancel2} \times \cancel{836} \: \: \: ^{30} \times h = 585$

$\\ \: \: \: \: \: \: \: \: \: \: : \implies \:30 \times h = 585$

$\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: : \implies \: h = \frac{585 }{30}$

$\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: : \implies \: 19.5cm$

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Step-by-step explanation:

$⠀\large {\boxed{\sf{\mid{\overline {\underline {\star More\:To\:know\::}}}\mid}}}$

$⠀⠀\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf Formulas\:of\: Area:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}$

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Answer 2

✯Answer:✯

➪19.5 cm

Step-by-step explanation:

• ➪Given, Area of trapezium=585 cm^2

⟹ Parallel sides= 22cm and 38cm

• Area of trapezium= 585

$\sf\frac{1}{2}(a + b) \times h = 585$

$\sf\frac{1}{2} (22 + 38) \times h = 585$

$\sf\frac{60}{2} \times h = 585$

⟹ 30h=585

⟹ h=585/30

⟹ h=19.5 cm