Question

Question 8(Multiple Choice Worth 1 points)

(05.05 LC)

What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you.

A coordinate grid is shown with scale from negative 14 to 0 to positive 14 on both x- and y-axes at increments of 2. A figure ABCD is shown with A at ordered pair negative 10, 2, B at ordered pair 2, 2, C at ordered pair 2, negative 6, and D at ordered pair negative 10, negative 6.

6 units × 4 units
8 units × 6 units
12 units × 8 units
18 units × 12 units

Answer 1

Answer:12 X 8

Explanation:

Answer 2

12 units × 8 units.

Explanation:

To find the dimensions of the rectangle shown in the coordinate grid, we can use the distance formula to calculate the length and width of the rectangle.

The length of the rectangle is the distance between points A and C, which are located at coordinates (-10, 2) and (2, 2), respectively. Using the distance formula, we get:

length = sqrt((2 - (-10))^2 + (2 - 2)^2) = sqrt(12^2 + 0) = 12 units

The width of the rectangle is the distance between points B and D, which are located at coordinates (2, 2) and (-10, -6), respectively. Using the distance formula again, we get:

width = sqrt((-10 - 2)^2 + (-6 - 2)^2) = sqrt(-8^2 + -8^2) = sqrt(64 + 64) = 8 units

Therefore, the dimensions of the rectangle are 12 units × 8 units.