Question

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

Option C: 12 units × 8 units are the dimensions of the rectangle

Explanation:

Given that ABCD is a rectangle.

The ordered pairs of the rectangle ABCD are given by

$A(-10,2)$ ,

$B(2,2)$ ,

$C(2,-6)$ and

$D(-10,-6)$

The graph attached below shows the coordinates of the rectangle ABCD.

We need to find the dimensions of the rectangle.

The dimensions can be determined using the distance formula,

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of AB is given by

$AB=\sqrt{(2+10)^2+(2-2)^2}$

     $=\sqrt{(12)^2}$

     $=12$

The length of AB is 12 units.

The length of BC is given by

$BC=\sqrt{(2-2)^2+(-6-2)^2}$

     $=\sqrt{(-8)^2}$

     $=8$

The length of BC is 8 units.

Hence, the dimensions of the rectangle are 12 units × 8 units

Therefore, Option C is the correct answer.

Answer 2

Answer:

12

Step-by-step explanation:

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