Question

What is the area of the trapezoid?

Answer 1

Your answer is b: 24

Answer 2

Answer:  The correct option is (B) 24 square units.

Step-by-step explanation: We are given to find the area of the trapezium in the figure.

The AREA of a TRAPEZIUM with lengths of parallel sides as 'a' and 'b' units and height 'h' units is given by the formula:

$A=\dfrac{1}{2}(a+b)h.$

In the given trapezium, we have

lengths of the parallel sides are

a = 4 units  and  b = 8 units,

and height, h = 4 units.

Therefore, the area of the given trapezium is

$A\\\\\\=\dfrac{1}{2}(a+b)h\\\\\\=\dfrac{1}{2}\times(4+8)\times 4\\\\\\=12\times 2\\\\=24~\textup{sq. units.}$

Thus, the area of the trapezium is 24 square units.

Option (B) is correct.