Question

Trapezoid ABCD is graphed in a coordinate plane,

What is the area of the trapezoid?
4
3
B
С
16 square units
O 24 square units
32 square units
48 square units
-5 4 3 2 -11
1 2 3 4 5 x
-5

Answer 1

24 square units

Explanation:

The formula for computing the area of a trapezoid is shown below:

As we know that

Area of a trapezium is

`= (1)/(2) * h(a+b)`

where

h = perpendicular height

The a and b = length of the parallel sides.

Now,

h = 2 - -2 = 4 units

a = 5 - -3 = 8 units

b = 3 - -1 = 4 units

Now placing these values to the above formula

So, the area of a trapezoid is

`= (1)/(2) * 4(8+4)`

`= 2 * 12`

= 24 square units.

Hence we applied the above formula so that the area of trapezoid could come