Question

In a trapezium, the parallel sides measure
40 ure and 20 ore Calulate the area
of trapeziune if its non-parallel sidy are
equal having length of 26an.​

Answer 1

AnswEr:-

Given,

• the parallel sides of the trapezium are = 40 cm and 20 cm

• the equal sides = 26cm

So, distance between the parallel sides =

$\: \: \: \: \sqrt{ {26}^{2} - { (\frac{(40 - 20)}{2} })^{2} } \: cm \\ = \sqrt{676 - ({10})^{2} } \: cm \\ = \sqrt{676 - 100} \: cm \\ = \sqrt{576} \: cm \\ = 24 \: cm$

So, area of trapezium =

$\: \: \: \: \frac{1}{2} \times (sum \: of \: parallel \: sides) \times distance \: between \: them \\ = \frac{1}{2} \times (40 + 20) \times 24 \: {cm}^{2} \\ = 12 \times 60 \: {cm}^{2} \\ = 720 \: {cm}^{2}$

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