Question

Trapezoid ABCD is graphed in a coordinate plane.

What is the area of the trapezoid?

10 square units
12 square units
20 square units
24 square units
please help

Answer 1

Answer:

Option B 12 square units

Step-by-step explanation:

Given is a trapezoid drawn on a graph.

Vertices of the trapezium are (-1,2) (0,-1) (-2,-3) and (-5,-2)

The area of trapezium can be found as area of two triangles

Area of triangle ABD =

$\frac{1}{2} \left[\begin{array}{ccc}-1&2&1\\0&-1&1\\-2&-3&1\end{array}\right] \\\\=\frac{1}{2} [-1(-1+3)-2(2+1)]=4 square units$

Area of triangle BCD

=$\frac{1}{2} \left[\begin{array}{ccc}-5&-2&1\\0&-1&1\\-2&-3&1\end{array}\right] \\\\=\frac{1}{2} [-5(-1+3)-2(-2+1)]=8 square units$

Area of trapezium = 4+8 = 12 square units

(NOte: Area cannot be negative hence absolute value is taken)

Answer 2

The area of the trapezoid is:

• 12 square units

What is a Coordinate Plane?

This refers to the two dimensional plane which identifies each point by a unique coordinate.

We can note that the vertices of the trapezium are (-1,2) (0,-1) (-2,-3) and (-5,-2)

Furthermore, we would try to calculate the area of the trapezium by getting the area of triangle ABD

=1/2[-1(-1 + 3) -2 (2 +10] = 4 square units

Additionally, to find the area of the triangle BCD,

=1/2[-5(-1 + 3) -2(-2 + 1)] = 8 square units

Finally, the area of trapezium is 4 + 8 = 12 square units.

Therefore, the correct answer is option B

Read more about coordinate plane here:
https://brainly.com/question/7038052