Question

The Area of trapezium is 180 cm^2. find the Height of trapezium if its parallel sides are 25cm and 15cm.

Answer 1

Question:-

The Area of trapezium is 180 cm². find the Height of trapezium if its parallel sides are 25cm and 15cm.

Answer:-

• The height of trapezium is 9 cm.

Solution:-

• Area of trapezium = 180 cm²
• Parallel sides = 25 cm and 15 cm

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$\pink{\boxed {\orange{ \mathfrak{area = \frac{sum \: of \: parallel \: sides}{2} \times h}}}}$

$\large{ \tt : \implies \: \: \: \: {} \frac{25 + 15}{2} \times h = 180}$

$\large{ \tt : \implies \: \: \: \: {}40 \times h = 180 \times 2}$

$\large{ \tt : \implies \: \: \: \: {}h = \frac{180 \times 2}{40} }$

$\large{ \tt : \implies \: \: \: \: {}h = 9cm}$

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• The height of trapezium is 9 cm.

Answer 2

Answer:

let height be x

then use the formula

area of trapezium = 1/2 ( sum of parallel sides ) h