Question

What is the area of the trapezoid?

16 square units
24 square units
32 square units
36 square units

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=(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\\\\\\=(1)/(2)(a+b)h\\\\\\=(1)/(2)*(4+8)* 4\\\\\\=12* 2\\\\=24~\textup{sq. units.}`

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

Option (B) is correct.