Question

The parallel side of a trapezium are 20cm and 30 cm and its non parallel sides are 6 cm and 8 cm find the area of a trapezium

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$\huge\bf{Question\:}$

The parallel side of a trapezium are 20cm and 30 cm and its non parallel sides are 6 cm and 8 cm. find the area of a trapezium?

$\bold\green{Given}$

Parallel sides = 20cm and 30cm

Non-parallel sides = 6cm and 8cm

Area of Triangle -

$\sqrt[2]{S(s-a)(s-b)(s-c)}$

where S is the ${S\:= \frac{a+b+c}{2}}$

$\bf\implies { \frac{8+8+10}{2}}$

$\bf\implies { \frac{26}{2}}$

$\bf\implies {13}$

Step by step:

$\sqrt[2]{14(13-8)(13-8)(13-10)}$

$\sqrt[2]{14(5)(5)(3)}$

$\sqrt[2]{14(75)}$

$\sqrt[2]{1050}$

$\implies {32.40}$

Thus, the area of Triangle will be 32.40 cm².

Again,

Area of Paralellogram - b×h

$\bf\implies {20\:×6}$

$\bf\implies {120}$

Area of Paralellogram will be 120 cm².

Total area of the Figure ( Area of Trapezium) -

$\bf\implies {Area\:of\: Triangle\:+\:Area\:of\: Parallelogram}$

$\bf\implies {32.40\:+\:120}$

$\bf\implies {152.40}$

$\bold\green{Hence}$

The area of the Trapezium will be 152.40 cm².