What is the area of a quadrilateral with vertices at the point negative 6 comma 6, the point negative 1 comma 6, the point negative 6 comma 10, and the point negative 1 comma 10?
Plotting the given points, we can see that the quadrilateral has a length of 5 units in the $x$-direction and a height of 4 units in the $y$-direction. [asy]
unitsize(0.4 cm);
pair A, B, C, D;
A = (-6,6);
B = (-1,6);
C = (-6,10);
D = (-1,10);
draw(A--B--D--C--cycle);
dot("$(6,6)$", A, SW);
dot("$(10,6)$", B, SE);
dot("$(10,-6)$", C, NE);
dot("$(6,-10)$", D, NW);
label("$5$", (A + B)/2, N);
label("$4$", (B + C)/2, E);
[/asy] The area of the quadrilateral is equal to the product of its length and height, which is equal to $5 \times 4 = \boxed{20}$.
I can't read that.
Apologies for the confusion. Let's look at the given points and calculate the area step by step.
The given points are:
$A: (-6, 6)$
$B: (-1, 6)$
$C: (-6, 10)$
$D: (-1, 10)$
We can see that the quadrilateral is a rectangle, with side lengths 5 units and 4 units.
The area of a rectangle is calculated by multiplying its length by its width. In this case, the length is 5 units and the width is 4 units.
Area $= \text{Length} \times \text{Width} = 5 \times 4 = 20$ square units.
Therefore, the area of the quadrilateral is $\boxed{20}$.
To find the area of a quadrilateral with the given vertices, you can divide it into two triangles and find their areas separately.
Step 1: Find the length of the base of the first triangle.
The base is the horizontal distance between the first two points: -1 - (-6) = 5.
Step 2: Find the height of the first triangle.
The height is the vertical distance between the first and fourth points: 10 - 6 = 4.
Step 3: Calculate the area of the first triangle using the formula: area = (base * height) / 2.
Area of the first triangle = (5 * 4) / 2 = 10 square units.
Step 4: Find the length of the base of the second triangle.
The base is the horizontal distance between the third and fourth points: -1 - (-6) = 5.
Step 5: Find the height of the second triangle.
The height is the vertical distance between the second and third points: 6 - 6 = 0.
Step 6: Calculate the area of the second triangle using the formula: area = (base * height) / 2.
Area of the second triangle = (5 * 0) / 2 = 0 square units.
Step 7: Find the total area of the quadrilateral by adding the areas of the two triangles.
Total area = Area of first triangle + Area of second triangle = 10 + 0 = 10 square units.
Therefore, the area of the given quadrilateral is 10 square units.