Question

The sum of the parallel sides of a trapezium is 12.4 cm. If the distance between the parallel sides is 3.5 cm, what is the area of this trapezium?

A) 43.4 sq cm B) 86.8 sq cm C) 130.2 sq cm D) 21.7 sq cm

Answer 1

✯ ANSWER ✯

• (D) 21.7 cm² (✔)

GIVEN:

• Sum of parallel sides of trapezium = 12.4 cm
• the distance between the parallel sides(Height) = 3.5 cm

TO FIND:

• What is the area of the trapezium ?

SOLUTION:

We have given that, the sum of the parallel sides of a trapezium is 12.4 cm. If the distance between the parallel sides is 3.5 cm

We know that the formula for finding the area of the trapezium is:-

$\bf{\star \: AREA = \dfrac{1}{2} \times (sum \: of \: parallel \: sides) \times height\: \star}$

According to question:-

On putting the given values in the formula, we get

$\rm{\dashrightarrow AREA = \dfrac{1}{2} \times 12.4 \times 3.5 }$

$\rm{\dashrightarrow AREA = \dfrac{1}{\cancel{2}} \times \cancel{12.4} \times 3.5 }$

$\rm{\dashrightarrow AREA = 6.2 \times 3.5 }$

$\bf{\dashrightarrow AREA = 21.7 \: cm^2 }$

❝ Hence, the area of the trapezium is 21.7 cm² ❞

______________________

Answer 2

✯✯ QUESTION ✯✯

The sum of the parallel sides of a trapezium is 12.4 cm. If the distance between the parallel sides is 3.5 cm, what is the area of this trapezium?

A) 43.4 sq cm B) 86.8 sq cm C) 130.2 sq cm D) 21.7 sq cm

━━━━━━━━━━━━━━━━━━━━

✰✰ ANSWER ✰✰

• Sum of parallel sides = 12.4 cm
• Distance between parallel sides is 3.5 cm that means height ( h ) of trapezium is 3.5 cm...

➥Using Formula : -

$\implies\tt{\small{\boxed{\bold{\bold{\red{\sf{Area\:of\:Trapezium=\dfrac{1}{2}\times{Sum\:of\:parallel\:sides}\times{h}}}}}}}}$

➥Putting Values : -

$\implies\tt{\dfrac{1}{2}\times{\cancel{12.4}}\times{3.5}}$

$\implies\tt{6.2\times{3.5}}$

$\implies\tt{21.70{cm}^{2}}$

☛So , The area of trapezium is 21.70 cm²..

✔Option D)21.7 cm² is Correct...