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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 :

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

[tex]A(-10,2)[/tex] ,

[tex]B(2,2)[/tex] ,

[tex]C(2,-6)[/tex] and

[tex]D(-10,-6)[/tex]

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,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The length of AB is given by

[tex]AB=\sqrt{(2+10)^2+(2-2)^2}[/tex]

     [tex]=\sqrt{(12)^2}[/tex]

     [tex]=12[/tex]

The length of AB is 12 units.

The length of BC is given by

[tex]BC=\sqrt{(2-2)^2+(-6-2)^2}[/tex]

     [tex]=\sqrt{(-8)^2}[/tex]

     [tex]=8[/tex]

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.

${teks-lihat-gambar} vijayalalitha
parisroseburgh100

Answer:

12 units × 8 units

Step-by-step explanation:

is the answer

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