Question

The area of which regular figure is 200cm square and it's height is 8 cm.If one of the parallel sides is longer than the other by 6 cm. Find the parallel sides​

Answer 1

Area of trapezium= 200sq.cm

Height = 8cm

One of the parallel side = 6cm

Let the other parallel side be x

Now by using the formula

$\bigstar\sf\ Area\ of\ trapezium= \dfrac{1}{2}\times height \times (sum\ of\ parallel\ sides)\\ \\ \\ \implies\sf\ 200= \dfrac{1}{\cancel{2}}\times \cancel{8}\times (6+x)\\ \\ \\ \implies\sf\ 200=4(6+x)\\ \\ \\ \implies\sf\ \cancel{\dfrac{200}{4}}= 6+x\\ \\ \\ \implies\sf\ 50=6+x\\ \\ \\ \implies\sf\ 50-6=x\\ \\ \\ \implies\sf\ \boxed{\sf\ 44=x}$

Answer 2

Step-by-step explanation:

$\blue{ \bf{ \underline{QUESTION} : - }}$

The area of which regular figure is 200cm square and it's height is 8 cm.If one of the parallel sides is longer than the other by 6 cm. Find the parallel sides

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$\boxed{ \huge{ \bold{ Given}}}$

• Area = 200 cm²

• Height = 8 cm

• One Parallel side = 6 cm

$\boxed{ \huge{ \bold{to \: find}}}$

• Another parallel Side

$\star{ \pink{ \underline{ \underline{Ｓｏｌｕｔｉｏｎ : - }}}}$

$\boxed{ \underline{ \purple{ \bold{ \underbrace{Area \: Of \: Trapizium = \frac{1}{2} \times height \times (sum \: of \: two \: prallel \: sides}}}}}$

${\implies{ \bold{200 = \frac{1}{2} \times 8 \times \: (6 + Another \: parallel \: side)}}}$

${\implies{ \bold{200 = \frac{1} {\cancel 2} \times { \cancel{8}{ \times (6 +Another \: parallel \: side)}}}}}$

${ \implies{ \bold{200 = 4 \times (6 + Another \: parallel \: side)}}}$

${\implies{ \bold{ {\frac{ 200}{4} = 6 + Another \: parallel \: side}}}}$

${\implies{ \bold {\cancel{ \frac{200}{4}} = 6 + Another \: parallel \: side }}}$

${\implies{ \bold{50 - 6 = Another \: parallel \: side}}}$

$\implies{ \bold{44 = Another \: parallel \: side}}$

$\boxed{ \bold{ \mathfrak{ \red{ \therefore{Another \: parallel \: side = 44cm}}}}}$

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MORE YOU KNOW ➯

• Area of square = (side)²

• Area of Ractengle = l × b

• Area of Triangle = 1/2 × b × h

• Area of circle = π r²

• Area of trapezoid = 1/2 ( a + b ) h

• Area of Ellipse = π ad

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