Question

The area of a trapezium of height 6cm is 18cm. If one of the parallel sides is 4 cm, the other side will be

A) 2 cm
B) 3 cm
C) 6 cm
D) 8 cm

Answer 1

The other side of the trapezium is 2 cm Therefore,the correct Option is Option A) 2 cm

Step-by-step explanation:

The formula for the area of a trapezium is given by
`\( \text{Area} = (1)/(2) * (\text{sum of parallel sides}) * \text{height}`). Given the height (h) as 6 cm and the area as 18 cm², we can use the formula to find the sum of the parallel sides.

Let (a) and (b) be the lengths of the parallel sides. The formula becomes
`\(18 = (1)/(2) * (a + b) * 6`). Solving for (a + b), we get (a + b = 6).

Now, we know that one side (a) is 4 cm. Substituting this into the equation,

we find the other side (b): (4 + b = 6)

which gives (b = 2).

Therefore, the other side is 2 cm.