Question

length of the two parallel side of trapezium are 8.5cm and 11.5cm respectively and its height is 4.2cm find its area​

Answer 1

Answer:

• Area of trapezium = 42 cm².

Step-by-step explanation:

Given:

• Two parallel sides are = 8.5 cm and 11.5 cm
• Height = 4.2 cm

To Find:

• Area of trapezium.

Now, we know that,

$\implies \sf Area\;of\;trapezium=\dfrac{1}{2}\times (sum\;of\;parallel\;sides)\times height\\ \\ \\ \underline{\sf Now,\;put\;the\;values,}\\ \\ \\ \implies \sf Area\;of\;trapezium=\dfrac{1}{2}\times (8.5+11.5)\times 4.2\\ \\ \\ \implies \sf Area\;of\;trapezium=\dfrac{1}{2}\times 20\times 4.2\\ \\ \\ \implies \sf Area\;of\;trapezium=\dfrac{1}{2}\times 84\\ \\ \\ \implies {\boxed{\bf Area\;of\;trapezium=42\;cm^{2}}}$

Hence, Area of trapezium = 42 cm².

Answer 2

◆$\huge\mathrm\red{\underline{\underline{Given}}}$◆

➾$\sf Length\;of\;parallel\;side\;of\; trapezium$

8.5 cm & 11.5 cm

➾$\sf Height\;of\;trapezium$

4.2 cm

◆$\huge\mathrm\red{\underline{\underline{Formula\: used}}}$◆

$\sf Area\;of\;trapezium$

$\sf \frac{1}{2}\;×\;sum\;of\;parallel\;sides\;×\;height$

◆$\huge\mathrm\red{\underline{\underline{Solution}}}$◆

$\sf So,\;Area\;of\;trapezium$

$\sf =\frac{1}{2}\;×\;(8.5+11.5)\;×\;4.2$

$\sf =\frac{1}{2}\;×\;20\;×\;4.2$

$\sf =\;10\;×\;4.2$

$\sf =\;42\;cm^2$

$\large{\boxed{\bf{\blue{Area\: of\: trapezium\: 42cm^2}}}}$