Question

The area of a trapezium is44cm square and its height is4m . then the sum of its parallel sides is what

Answer 1

$\huge{\underline{\underline{\red{\mathfrak{AnSwEr :}}}}}$

${\underline{\sf{\blue{Given :}}}}$

• Area of Trapezium = 44 cm²

• Height (h) = 4 cm

$\rule{200}{1}$

${\underline{\sf{\green{Solution :}}}}$

We have formula for area of Trapezium :

$\small \star {\boxed{\sf{Area \: = \: \dfrac{1}{2} \: (Sum \: of \: Parallel \: Sides) \: \times \: Height}}}$

$\small \implies {\sf{44 \: = \: \dfrac{1}{\cancel{2}} \: (Sum \: of \: Parallel \: Sides) \: \times \: \cancel{4}}}$

$\small \implies {\sf{44 \: = \: 2 \: \times \: (Sum \: of \: Parallel \: Sides)}}$

$\small \implies {\sf{Sum \: of \: Parallel \: Sides \: = \: \dfrac{\cancel{44}}{\cancel{2}}}}$

$\small \implies {\sf{Sum \: Of \: Parallel \: Sides \: = \: 22 \: cm}}$

∴ Sum of Parallel Sides is 22 cm

Answer 2

▀▄▀▄▀▄ SOLUTION▄▀▄▀▄▀

✿GIVEN✿

•The Area of trapezium=44cm²

•The height of trapezium=4m

✪Find:The sum of its parallel side

*ACCORDING TO QUESTION*

let

•The parallel side be x

$area = \frac{1}{2} \times (sum \: of \: parallel \: side )\times height)$

$⇒ \frac{1}{2} \times x \times 4 = 44 \\ \\ ⇒2x = 44 \\ \\ ⇒x = 22cm$

Hence:-

✿The sum of parallel side is 22cm