Question

Construct a trapezium with the parallel sides in the ratio of $2:1$. If the distance between the parallel sides is $6$ cm and the area is $135$ sq cm, Find the length of parallel sides ( in cm ).

• A. $15,30$
• B. $16,28$
• C. $18,26$
• D. None of these

Answer 1

The correct option is A $15,30$

In trapezium ABCD, let AB = $x$, then CD = $2x$

Given, AX = 6 cm

Now, area of trapezium ABCD = 158

$\frac{1}{2}\times (AB+CD)\times AX=135\frac{1}{2}\times (x+2x)\times 6=135x=15$

So, parallel sides of trapezium becomes 15cm & 30cm

So, correct answer is option A.