Question : Parallel sides of a trapezium are $26\;\mathrm{cm}$ and $40\;\mathrm{cm}$ and the area is $792\;\mathrm{cm^2}$. What is the value of the distance (in $\mathrm{cm}$) between parallel sides?
Option 1: $24\;\mathrm{cm}$
Option 2: $48\;\mathrm{cm}$
Option 3: $12\;\mathrm{cm}$
Option 4: $36\;\mathrm{cm}$

Question

Question : Parallel sides of a trapezium are $26\;\mathrm{cm}$ and $40\;\mathrm{cm}$ and the area is $792\;\mathrm{cm^2}$. What is the value of the distance (in $\mathrm{cm}$) between parallel sides?

Option 1: $24\;\mathrm{cm}$

Option 2: $48\;\mathrm{cm}$

Option 3: $12\;\mathrm{cm}$

Option 4: $36\;\mathrm{cm}$

Team Careers360 · Accepted Answer

Correct Answer: $24\;\mathrm{cm}$

Solution : Given that the parallel sides are $26\;\mathrm{cm}$ and $40\;\mathrm{cm}$, and the area is $792\;\mathrm{cm^2}$.
Let $d$ and $s$ as the distance between parallel sides and the sum of parallel sides.
The sum of parallel sides $=26+40 =66\;\mathrm{cm}$
The area of a trapezium $=\frac{1}{2} imes s imes d$
⇒ $792 = \frac{1}{2} imes 66 imes d$
⇒ $d = \frac{792 imes 2}{66} = 24\;\mathrm{cm}$
Hence, the correct answer is $24\;\mathrm{cm}$.

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Question : Parallel sides of a trapezium are 26cm and 40cm and the area is 792cm2. What is the value of the distance (in cm) between parallel sides?Option 1: 24cmOption 2: 48cmOption 3: 12cmOption 4: 36cm

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Question : Parallel sides of a trapezium are $26 cm$ and $40 cm$ and the area is $792 {cm}^{2}$ . What is the value of the distance (in $cm$ ) between parallel sides?
Option 1: $24 cm$
Option 2: $48 cm$
Option 3: $12 cm$
Option 4: $36 cm$