Question

The parallel sides of a trapezium are 5cm and 12 cm. The distance between the two

parallel sides is 4cm. The area of the trapezium is​

Answer 1

Step-by-step explanation:

area of the trapezium = 1/2 × sum of parallel sides × distance between two parallel sides

1/2 × ( 5 + 12 ) × 4

1/2 × 17 × 4

34cm²

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Answer 2

$\large\sf\underline{Correct\: Question}$

The parallel sides of a trapezium are 5cm and 12 cm . The distance between the two parallel sides is 4cm . What is the area of the trapezium ?

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$\large\sf\underline{Given}$

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• Parallel sides of the trapezium are 5cm and 12cm .

• Distance between parallel sides is 4cm .

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$\large\sf\underline{To\:find}$

• Area of the trapezium .

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$\large\sf\underline{Solution}$

We know ,

$\small\rm\purple\star\:\underline{Area\:of\: trapezium=\frac{1}{2} × (sum\:of\:∥\:sides)× ⊥\: distance\: between\:them}$

Now let's substitute the given values in the formula :

$\sf\:⟹\:Area=\frac{1}{2}×(5+12)×4$

$\sf\:⟹\:Area=\frac{1}{2}×17×4$

$\sf\:⟹\:Area=\frac{1}{2}×68$

$\sf\:⟹\:Area=\frac{68}{2}$

$\small{\underline{\boxed{\mathrm\pink{⟹\:Area=34\:cm^{2}}}}}$

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