Question

The area of a trapezium is 240 cm. If the lengths of its parallel sides are
20 cm and 22 cm. Find its altitude​

Answer 1

Answer:

11.43cm .....

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Answer 2

Given:-

• Area of trapezium = 240 cm²
• Measurement of parallel sides are 20 cm and 22 cm.

To find :-

• Measurement of altitude.

$\large\tt\blue{SolutioN}$

$\tt \: Area \: of \: trapezium \: = \frac{a + b}{2} \times h$

In which a and b are parallel sides and h is height or we can say altitude of trapezium.

Now, Put the values in above formula.

$\implies \tt240 = \frac{20 + 22}{2} \times h \\ \implies \tt240 = \frac{42}{2}× h$

$\implies \tt240 = 21 × h$

$\implies \tt \frac{240}{21} = h$

$\implies \tt h = 11.42$

Therefore, Measurement of altitude is 11.42 cm.

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More information:-

• Trapezium is a closed figure which consists of four sides.
• In this one pair of opposite sides are parallel but not equal and one pair of opposite sides are equal but not parallel.
• Perimeter of trapezium is sum of all sides.
• Area of trapezium is half of sum of parallel sides multiple by height.