Question

t. Two parallel sides of at trapezium are of length 27 am
13 cm respectively and the distance between them is 14 cm.
find the area of the trapezium​

Answer 1

AnswEr:-

❀ Your Answer Is 280 cm².

ExplanaTion:-

Given:-

• Parallel Sides of the Trapezium are of length 27 cm and 13 cm.

• The distance between them is 14 cm i.e. height of the trapezium is 14 cm.

To Find:-

• The Area of the Trapezium.

Formula Used:-

• Area Of Trapezium,

$\tt = \dfrac{1}{2} (sum \: \: of \: || sides) \times h.$

Where,

• h = Height = 14 cm.

Now,

Lets put the above values in the formula to get the area of trapezium:-

$\\ \rm{\underline{\underline{\bigstar{Area\ \ Of\ \ Trapezium,}}}}$

$\tt = \dfrac{1}{2} (sum \: \: of \: || \: sides) \times h. \\ \\ \tt = \frac{1}{2} (27 \: cm+ 13 \: cm) \times 14 \: cm. \\ \\ \tt = \frac{1}{2} (40 \: cm) \times 14 \: cm. \\ \\ \tt = \frac{1}{\cancel2} \times \cancel{560} \: \: {cm}^{2} . \\ \\ \tt = 1 \times 280 \: \: {cm}^{2} . \\ \\ \tt = 280 \: \: {cm}^{2}.$

$\tt\therefore$ The required area of trapezium is 280 cm².

Answer 2

✯✯ QUESTION ✯✯

Two parallel sides of at trapezium are of length 27 cm 13 cm respectively and the distance between them is 14 cm.Find the area of the trapezium..

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✰✰ ANSWER ✰✰

• Two parallel sides of trapezium are 27cm and 13cm.
• Distance between parallel sides is 14cm .That means the height ( h ) of trapezium is 14cm.

➥Using Formula : -

$\longmapsto\tt{Area\:of\:Trapezium=\dfrac{1}{2}\times{(Sum\:of\:parallel\:sides)}\times{h}}$

➥Putting Values : -

$\longmapsto\tt{\dfrac{1}{2}\times{(27+13)}\times{14}}$

$\longmapsto\tt{\dfrac{1}{\cancel{2}}\times{40}\times{\cancel{14}}}$

$\longmapsto\tt{40\times{7}}$

$\longmapsto\tt\boxed{280{cm}^{2}}$

☛So , The Area of Trapezium is 280cm²..