Find the area of the trapezium in terms of x, and if BCD = y  , then calculate the value of y.

# Find the area of the trapezium in terms of x, and if  , then calculate the value of y.

1. A

2. B

3. C

4. D

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### Solution:

Let’s divide the field into two triangles ADF, BCE, and one rectangle ABEF.
Now, find the area of the triangle by using the formula  .

Now, calculate the value of the area of the rectangle by using the formula  .

To find the value of y, in right angled triangle at angle E, we have

Hence, the correct option is 1.

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